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QuestionSolve the equation step by step. Fill in the blanks and simplify.
−2(−19w−14)=−10□+28=−1038w=w= \begin{aligned} -2(-19 w-14) & =-10 \\ \square+28 & =-10 \\ 38 w & = \\ w & = \end{aligned}

Studdy Solution

STEP 1

Assumptions1. The equation is −(−19w−14)=−10-(-19w -14) = -10 . We need to find the value of ww

STEP 2

First, we apply the distributive property to the left side of the equation. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac.−2(−19w−14)=38w+28-2(-19w -14) =38w +28

STEP 3

Now, we fill in the missing term on the second line. The equation becomes38w+28=−1038w +28 = -10

STEP 4

Next, we subtract28 from both sides of the equation to isolate the term with ww on one side. This gives us38w=−10−2838w = -10 -28

STEP 5

We simplify the right side of the equation38w=−3838w = -38

STEP 6

Finally, we divide both sides of the equation by38 to solve for www=−38/38w = -38 /38

STEP 7

We simplify the right side of the equation to get the final solutionw=−1w = -1So, the solution to the equation is w=−1w = -1.

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