-6(2w-8)+7w=4(w+9)

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Solution for -6(2w-8)+7w=4(w+9) equation: 


Simplifying
-6(2w + -8) + 7w = 4(w + 9)

Reorder the terms:
-6(-8 + 2w) + 7w = 4(w + 9)
(-8 * -6 + 2w * -6) + 7w = 4(w + 9)
(48 + -12w) + 7w = 4(w + 9)

Combine like terms: -12w + 7w = -5w
48 + -5w = 4(w + 9)

Reorder the terms:
48 + -5w = 4(9 + w)
48 + -5w = (9 * 4 + w * 4)
48 + -5w = (36 + 4w)

Solving
48 + -5w = 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.
48 + -5w + -4w = 36 + 4w + -4w

Combine like terms: -5w + -4w = -9w
48 + -9w = 36 + 4w + -4w

Combine like terms: 4w + -4w = 0
48 + -9w = 36 + 0
48 + -9w = 36

Add '-48' to each side of the equation.
48 + -48 + -9w = 36 + -48

Combine like terms: 48 + -48 = 0
0 + -9w = 36 + -48
-9w = 36 + -48

Combine like terms: 36 + -48 = -12
-9w = -12

Divide each side by '-9'.
w = 1.333333333

Simplifying
w = 1.333333333

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