-7(2w-6)+2w=4(w+9)

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Solution for -7(2w-6)+2w=4(w+9) equation:


Simplifying
-7(2w + -6) + 2w = 4(w + 9)

Reorder the terms:
-7(-6 + 2w) + 2w = 4(w + 9)
(-6 * -7 + 2w * -7) + 2w = 4(w + 9)
(42 + -14w) + 2w = 4(w + 9)

Combine like terms: -14w + 2w = -12w
42 + -12w = 4(w + 9)

Reorder the terms:
42 + -12w = 4(9 + w)
42 + -12w = (9 * 4 + w * 4)
42 + -12w = (36 + 4w)

Solving
42 + -12w = 36 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
42 + -12w + -4w = 36 + 4w + -4w

Combine like terms: -12w + -4w = -16w
42 + -16w = 36 + 4w + -4w

Combine like terms: 4w + -4w = 0
42 + -16w = 36 + 0
42 + -16w = 36

Add '-42' to each side of the equation.
42 + -42 + -16w = 36 + -42

Combine like terms: 42 + -42 = 0
0 + -16w = 36 + -42
-16w = 36 + -42

Combine like terms: 36 + -42 = -6
-16w = -6

Divide each side by '-16'.
w = 0.375

Simplifying
w = 0.375

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