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

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


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

Reorder the terms:
-2(-4 + 7w) + 7w = 3(w + 4)
(-4 * -2 + 7w * -2) + 7w = 3(w + 4)
(8 + -14w) + 7w = 3(w + 4)

Combine like terms: -14w + 7w = -7w
8 + -7w = 3(w + 4)

Reorder the terms:
8 + -7w = 3(4 + w)
8 + -7w = (4 * 3 + w * 3)
8 + -7w = (12 + 3w)

Solving
8 + -7w = 12 + 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.
8 + -7w + -3w = 12 + 3w + -3w

Combine like terms: -7w + -3w = -10w
8 + -10w = 12 + 3w + -3w

Combine like terms: 3w + -3w = 0
8 + -10w = 12 + 0
8 + -10w = 12

Add '-8' to each side of the equation.
8 + -8 + -10w = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -10w = 12 + -8
-10w = 12 + -8

Combine like terms: 12 + -8 = 4
-10w = 4

Divide each side by '-10'.
w = -0.4

Simplifying
w = -0.4

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