3(2+w)-7=2(4w-8)

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Solution for 3(2+w)-7=2(4w-8) equation:


Simplifying
3(2 + w) + -7 = 2(4w + -8)
(2 * 3 + w * 3) + -7 = 2(4w + -8)
(6 + 3w) + -7 = 2(4w + -8)

Reorder the terms:
6 + -7 + 3w = 2(4w + -8)

Combine like terms: 6 + -7 = -1
-1 + 3w = 2(4w + -8)

Reorder the terms:
-1 + 3w = 2(-8 + 4w)
-1 + 3w = (-8 * 2 + 4w * 2)
-1 + 3w = (-16 + 8w)

Solving
-1 + 3w = -16 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-1 + 3w + -8w = -16 + 8w + -8w

Combine like terms: 3w + -8w = -5w
-1 + -5w = -16 + 8w + -8w

Combine like terms: 8w + -8w = 0
-1 + -5w = -16 + 0
-1 + -5w = -16

Add '1' to each side of the equation.
-1 + 1 + -5w = -16 + 1

Combine like terms: -1 + 1 = 0
0 + -5w = -16 + 1
-5w = -16 + 1

Combine like terms: -16 + 1 = -15
-5w = -15

Divide each side by '-5'.
w = 3

Simplifying
w = 3

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