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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
w = -2

1 answer

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

  1. Combine \(15w\) and \(3w\): \[ 15w + 3w = 18w \] So the equation becomes: \[ 18w + 19 = -17 \]

  2. Next, we will subtract 19 from both sides to isolate the term with \(w\): \[ 18w + 19 - 19 = -17 - 19 \] This simplifies to: \[ 18w = -36 \]

  3. Now, divide both sides by 18 to solve for \(w\): \[ w = \frac{-36}{18} \] Simplifying this gives: \[ w = -2 \]

So, the correct answer is: \[ w = -2 \]