-7(-3w+4)-7w=6(w-4)-6

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Solution for -7(-3w+4)-7w=6(w-4)-6 equation:


Simplifying
-7(-3w + 4) + -7w = 6(w + -4) + -6

Reorder the terms:
-7(4 + -3w) + -7w = 6(w + -4) + -6
(4 * -7 + -3w * -7) + -7w = 6(w + -4) + -6
(-28 + 21w) + -7w = 6(w + -4) + -6

Combine like terms: 21w + -7w = 14w
-28 + 14w = 6(w + -4) + -6

Reorder the terms:
-28 + 14w = 6(-4 + w) + -6
-28 + 14w = (-4 * 6 + w * 6) + -6
-28 + 14w = (-24 + 6w) + -6

Reorder the terms:
-28 + 14w = -24 + -6 + 6w

Combine like terms: -24 + -6 = -30
-28 + 14w = -30 + 6w

Solving
-28 + 14w = -30 + 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.
-28 + 14w + -6w = -30 + 6w + -6w

Combine like terms: 14w + -6w = 8w
-28 + 8w = -30 + 6w + -6w

Combine like terms: 6w + -6w = 0
-28 + 8w = -30 + 0
-28 + 8w = -30

Add '28' to each side of the equation.
-28 + 28 + 8w = -30 + 28

Combine like terms: -28 + 28 = 0
0 + 8w = -30 + 28
8w = -30 + 28

Combine like terms: -30 + 28 = -2
8w = -2

Divide each side by '8'.
w = -0.25

Simplifying
w = -0.25

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