-3(5w-6)+7w=4(w+5)

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Solution for -3(5w-6)+7w=4(w+5) equation:


Simplifying
-3(5w + -6) + 7w = 4(w + 5)

Reorder the terms:
-3(-6 + 5w) + 7w = 4(w + 5)
(-6 * -3 + 5w * -3) + 7w = 4(w + 5)
(18 + -15w) + 7w = 4(w + 5)

Combine like terms: -15w + 7w = -8w
18 + -8w = 4(w + 5)

Reorder the terms:
18 + -8w = 4(5 + w)
18 + -8w = (5 * 4 + w * 4)
18 + -8w = (20 + 4w)

Solving
18 + -8w = 20 + 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.
18 + -8w + -4w = 20 + 4w + -4w

Combine like terms: -8w + -4w = -12w
18 + -12w = 20 + 4w + -4w

Combine like terms: 4w + -4w = 0
18 + -12w = 20 + 0
18 + -12w = 20

Add '-18' to each side of the equation.
18 + -18 + -12w = 20 + -18

Combine like terms: 18 + -18 = 0
0 + -12w = 20 + -18
-12w = 20 + -18

Combine like terms: 20 + -18 = 2
-12w = 2

Divide each side by '-12'.
w = -0.1666666667

Simplifying
w = -0.1666666667

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