Simplify the expression:

Question

–2(n − 8) =

Answer 1

To simplify the expression \(-2(n - 8)\), you need to distribute the \(-2\) to both terms inside the parentheses:

\[ -2(n - 8) = -2 \cdot n + (-2) \cdot (-8) \]

Calculating each part:

1. \(-2 \cdot n = -2n\)
2. \(-2 \cdot (-8) = 16\)

Now, combine these results:

\[ -2(n - 8) = -2n + 16 \]

Thus, the simplified expression is:

\[ \boxed{-2n + 16} \]

Answer 2

Simplify the expression:

4.8(–5n + 3.1)

Answer 3

To simplify the expression \(4.8(-5n + 3.1)\), you need to distribute \(4.8\) to both terms inside the parentheses:

\[ 4.8(-5n) + 4.8(3.1) \]

Calculating each part:

1. \(4.8 \cdot (-5n) = -24n\)
2. \(4.8 \cdot 3.1 = 14.88\)

Now, combine these results:

\[ 4.8(-5n + 3.1) = -24n + 14.88 \]

Thus, the simplified expression is:

\[ \boxed{-24n + 14.88} \]

Answer 4

Simplify the expression:

–1.9(–3.5t + 3.1)

Answer 5

To simplify the expression \(-1.9(-3.5t + 3.1)\), you need to distribute \(-1.9\) to both terms inside the parentheses:

\[ -1.9(-3.5t) + (-1.9)(3.1) \]

Calculating each part:

1. \(-1.9 \cdot (-3.5t) = 6.65t\)
2. \(-1.9 \cdot 3.1 = -5.89\)

Now, combine these results:

\[ -1.9(-3.5t + 3.1) = 6.65t - 5.89 \]

Thus, the simplified expression is:

\[ \boxed{6.65t - 5.89} \]

Answer 6

Simplify the expression:

0.8(–3.2 − 0.1j)

Answer 7

To simplify the expression \(0.8(-3.2 - 0.1j)\), you need to distribute \(0.8\) to both terms inside the parentheses:

\[ 0.8 \cdot (-3.2) + 0.8 \cdot (-0.1j) \]

Calculating each part:

1. \(0.8 \cdot (-3.2) = -2.56\)
2. \(0.8 \cdot (-0.1j) = -0.08j\)

Now, combine these results:

\[ 0.8(-3.2 - 0.1j) = -2.56 - 0.08j \]

Thus, the simplified expression is:

\[ \boxed{-2.56 - 0.08j} \]