8(8-w)+6=-6(w-3)-7

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Solution for 8(8-w)+6=-6(w-3)-7 equation: 


Simplifying
8(8 + -1w) + 6 = -6(w + -3) + -7
(8 * 8 + -1w * 8) + 6 = -6(w + -3) + -7
(64 + -8w) + 6 = -6(w + -3) + -7

Reorder the terms:
64 + 6 + -8w = -6(w + -3) + -7

Combine like terms: 64 + 6 = 70
70 + -8w = -6(w + -3) + -7

Reorder the terms:
70 + -8w = -6(-3 + w) + -7
70 + -8w = (-3 * -6 + w * -6) + -7
70 + -8w = (18 + -6w) + -7

Reorder the terms:
70 + -8w = 18 + -7 + -6w

Combine like terms: 18 + -7 = 11
70 + -8w = 11 + -6w

Solving
70 + -8w = 11 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
70 + -8w + 6w = 11 + -6w + 6w

Combine like terms: -8w + 6w = -2w
70 + -2w = 11 + -6w + 6w

Combine like terms: -6w + 6w = 0
70 + -2w = 11 + 0
70 + -2w = 11

Add '-70' to each side of the equation.
70 + -70 + -2w = 11 + -70

Combine like terms: 70 + -70 = 0
0 + -2w = 11 + -70
-2w = 11 + -70

Combine like terms: 11 + -70 = -59
-2w = -59

Divide each side by '-2'.
w = 29.5

Simplifying
w = 29.5

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