8(2w-6)+5(w+7)=-97

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Solution for 8(2w-6)+5(w+7)=-97 equation:


Simplifying
8(2w + -6) + 5(w + 7) = -97

Reorder the terms:
8(-6 + 2w) + 5(w + 7) = -97
(-6 * 8 + 2w * 8) + 5(w + 7) = -97
(-48 + 16w) + 5(w + 7) = -97

Reorder the terms:
-48 + 16w + 5(7 + w) = -97
-48 + 16w + (7 * 5 + w * 5) = -97
-48 + 16w + (35 + 5w) = -97

Reorder the terms:
-48 + 35 + 16w + 5w = -97

Combine like terms: -48 + 35 = -13
-13 + 16w + 5w = -97

Combine like terms: 16w + 5w = 21w
-13 + 21w = -97

Solving
-13 + 21w = -97

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + 21w = -97 + 13

Combine like terms: -13 + 13 = 0
0 + 21w = -97 + 13
21w = -97 + 13

Combine like terms: -97 + 13 = -84
21w = -84

Divide each side by '21'.
w = -4

Simplifying
w = -4

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