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Solve for w.

15w+3w+19=−17


(1 point)
Responses

w = 4
w = 4

w = 2
w = 2

w = -3
w = -3

w = -2

3 answers

To solve the equation \(15w + 3w + 19 = -17\), let's first combine like terms on the left side:

\[ 15w + 3w = 18w \]

So the equation becomes:

\[ 18w + 19 = -17 \]

Next, subtract 19 from both sides:

\[ 18w = -17 - 19 \]

Calculating the right side:

\[ -17 - 19 = -36 \]

Thus, we have:

\[ 18w = -36 \]

Now, divide both sides by 18:

\[ w = \frac{-36}{18} = -2 \]

Therefore, the solution is:

\[ \boxed{w = -2} \]

Simplify the expression.

(6x−10)−(2x+12)


(1 point)
Responses

4x+2
4 x plus 2

8x−2
8 x minus 2

8x−22
8 x minus 22

4x−22

To simplify the expression \((6x−10)−(2x+12)\), follow these steps:

  1. Distribute the negative sign through the second set of parentheses:

\[ (6x - 10) - (2x + 12) = 6x - 10 - 2x - 12 \]

  1. Now combine like terms. Start with the \(x\) terms:

\[ 6x - 2x = 4x \]

  1. Now combine the constant terms:

\[ -10 - 12 = -22 \]

  1. Putting it all together:

\[ 4x - 22 \]

Therefore, the simplified expression is:

\[ \boxed{4x - 22} \]