6(w+3)-2w=3(w-4)+5

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Solution for 6(w+3)-2w=3(w-4)+5 equation: 


Simplifying
6(w + 3) + -2w = 3(w + -4) + 5

Reorder the terms:
6(3 + w) + -2w = 3(w + -4) + 5
(3 * 6 + w * 6) + -2w = 3(w + -4) + 5
(18 + 6w) + -2w = 3(w + -4) + 5

Combine like terms: 6w + -2w = 4w
18 + 4w = 3(w + -4) + 5

Reorder the terms:
18 + 4w = 3(-4 + w) + 5
18 + 4w = (-4 * 3 + w * 3) + 5
18 + 4w = (-12 + 3w) + 5

Reorder the terms:
18 + 4w = -12 + 5 + 3w

Combine like terms: -12 + 5 = -7
18 + 4w = -7 + 3w

Solving
18 + 4w = -7 + 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.
18 + 4w + -3w = -7 + 3w + -3w

Combine like terms: 4w + -3w = 1w
18 + 1w = -7 + 3w + -3w

Combine like terms: 3w + -3w = 0
18 + 1w = -7 + 0
18 + 1w = -7

Add '-18' to each side of the equation.
18 + -18 + 1w = -7 + -18

Combine like terms: 18 + -18 = 0
0 + 1w = -7 + -18
1w = -7 + -18

Combine like terms: -7 + -18 = -25
1w = -25

Divide each side by '1'.
w = -25

Simplifying
w = -25

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