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

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


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

Reorder the terms:
-4(-7 + 4w) + 4w = 6(w + 7)
(-7 * -4 + 4w * -4) + 4w = 6(w + 7)
(28 + -16w) + 4w = 6(w + 7)

Combine like terms: -16w + 4w = -12w
28 + -12w = 6(w + 7)

Reorder the terms:
28 + -12w = 6(7 + w)
28 + -12w = (7 * 6 + w * 6)
28 + -12w = (42 + 6w)

Solving
28 + -12w = 42 + 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 + -12w + -6w = 42 + 6w + -6w

Combine like terms: -12w + -6w = -18w
28 + -18w = 42 + 6w + -6w

Combine like terms: 6w + -6w = 0
28 + -18w = 42 + 0
28 + -18w = 42

Add '-28' to each side of the equation.
28 + -28 + -18w = 42 + -28

Combine like terms: 28 + -28 = 0
0 + -18w = 42 + -28
-18w = 42 + -28

Combine like terms: 42 + -28 = 14
-18w = 14

Divide each side by '-18'.
w = -0.7777777778

Simplifying
w = -0.7777777778

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