-3(6 - 3u)
11 answers
To simplify the expression \(-3(6 - 3u)\), we can distribute \(-3\) to both terms inside the parentheses:
\[ -3(6) + -3(-3u) \]
Calculating each term, we have:
\[ -3 \cdot 6 = -18 \] \[ -3 \cdot -3u = 9u \]
Putting it all together, the expression simplifies to:
\[ -18 + 9u \]
Thus, the simplified expression is:
\[ 9u - 18 \]
To simplify the expression \(2(-3 + 4w)\), we will distribute the \(2\) to both terms inside the parentheses:
\[ 2 \cdot (-3) + 2 \cdot (4w) \]
Calculating each term, we get:
\[ 2 \cdot -3 = -6 \] \[ 2 \cdot 4w = 8w \]
Now, putting it all together, the expression simplifies to:
\[ -6 + 8w \]
Thus, the simplified expression is:
\[ 8w - 6 \]
To simplify the expression \(-6(-2v + 5)\), we will distribute \(-6\) to both terms inside the parentheses:
\[ -6 \cdot (-2v) + -6 \cdot 5 \]
Calculating each term gives us:
\[ -6 \cdot -2v = 12v \] \[ -6 \cdot 5 = -30 \]
Now, putting it all together, the expression simplifies to:
\[ 12v - 30 \]
Thus, the simplified expression is:
\[ 12v - 30 \]
To simplify the expression \(-3(6 - 7x)\), we will distribute \(-3\) to both terms inside the parentheses:
\[ -3 \cdot 6 + -3 \cdot (-7x) \]
Calculating each term gives us:
\[ -3 \cdot 6 = -18 \] \[ -3 \cdot -7x = 21x \]
Now, putting it all together, the expression simplifies to:
\[ 21x - 18 \]
Thus, the simplified expression is:
\[ 21x - 18 \]
To simplify the expression \(2(-2d + 4)\), we will distribute the \(2\) to both terms inside the parentheses:
\[ 2 \cdot (-2d) + 2 \cdot 4 \]
Calculating each term gives us:
\[ 2 \cdot (-2d) = -4d \] \[ 2 \cdot 4 = 8 \]
Now, putting it all together, the expression simplifies to:
\[ -4d + 8 \]
Thus, the simplified expression is:
\[ -4d + 8 \]
To simplify the expression \(5(-3d + 4)\), we will distribute the \(5\) to both terms inside the parentheses:
\[ 5 \cdot (-3d) + 5 \cdot 4 \]
Calculating each term gives us:
\[ 5 \cdot (-3d) = -15d \] \[ 5 \cdot 4 = 20 \]
Now, putting it all together, the expression simplifies to:
\[ -15d + 20 \]
Thus, the simplified expression is:
\[ -15d + 20 \]
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