-7(-3w+4)-2w=3(w-7)-9

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Solution for -7(-3w+4)-2w=3(w-7)-9 equation:


Simplifying
-7(-3w + 4) + -2w = 3(w + -7) + -9

Reorder the terms:
-7(4 + -3w) + -2w = 3(w + -7) + -9
(4 * -7 + -3w * -7) + -2w = 3(w + -7) + -9
(-28 + 21w) + -2w = 3(w + -7) + -9

Combine like terms: 21w + -2w = 19w
-28 + 19w = 3(w + -7) + -9

Reorder the terms:
-28 + 19w = 3(-7 + w) + -9
-28 + 19w = (-7 * 3 + w * 3) + -9
-28 + 19w = (-21 + 3w) + -9

Reorder the terms:
-28 + 19w = -21 + -9 + 3w

Combine like terms: -21 + -9 = -30
-28 + 19w = -30 + 3w

Solving
-28 + 19w = -30 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-28 + 19w + -3w = -30 + 3w + -3w

Combine like terms: 19w + -3w = 16w
-28 + 16w = -30 + 3w + -3w

Combine like terms: 3w + -3w = 0
-28 + 16w = -30 + 0
-28 + 16w = -30

Add '28' to each side of the equation.
-28 + 28 + 16w = -30 + 28

Combine like terms: -28 + 28 = 0
0 + 16w = -30 + 28
16w = -30 + 28

Combine like terms: -30 + 28 = -2
16w = -2

Divide each side by '16'.
w = -0.125

Simplifying
w = -0.125

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