3(10-w)+6=-6(w-3)-7

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Solution for 3(10-w)+6=-6(w-3)-7 equation: 


Simplifying
3(10 + -1w) + 6 = -6(w + -3) + -7
(10 * 3 + -1w * 3) + 6 = -6(w + -3) + -7
(30 + -3w) + 6 = -6(w + -3) + -7

Reorder the terms:
30 + 6 + -3w = -6(w + -3) + -7

Combine like terms: 30 + 6 = 36
36 + -3w = -6(w + -3) + -7

Reorder the terms:
36 + -3w = -6(-3 + w) + -7
36 + -3w = (-3 * -6 + w * -6) + -7
36 + -3w = (18 + -6w) + -7

Reorder the terms:
36 + -3w = 18 + -7 + -6w

Combine like terms: 18 + -7 = 11
36 + -3w = 11 + -6w

Solving
36 + -3w = 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.
36 + -3w + 6w = 11 + -6w + 6w

Combine like terms: -3w + 6w = 3w
36 + 3w = 11 + -6w + 6w

Combine like terms: -6w + 6w = 0
36 + 3w = 11 + 0
36 + 3w = 11

Add '-36' to each side of the equation.
36 + -36 + 3w = 11 + -36

Combine like terms: 36 + -36 = 0
0 + 3w = 11 + -36
3w = 11 + -36

Combine like terms: 11 + -36 = -25
3w = -25

Divide each side by '3'.
w = -8.333333333

Simplifying
w = -8.333333333

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