-2(6w-7)+5w=3(w+6)

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Solution for -2(6w-7)+5w=3(w+6) equation:


Simplifying
-2(6w + -7) + 5w = 3(w + 6)

Reorder the terms:
-2(-7 + 6w) + 5w = 3(w + 6)
(-7 * -2 + 6w * -2) + 5w = 3(w + 6)
(14 + -12w) + 5w = 3(w + 6)

Combine like terms: -12w + 5w = -7w
14 + -7w = 3(w + 6)

Reorder the terms:
14 + -7w = 3(6 + w)
14 + -7w = (6 * 3 + w * 3)
14 + -7w = (18 + 3w)

Solving
14 + -7w = 18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
14 + -7w + -3w = 18 + 3w + -3w

Combine like terms: -7w + -3w = -10w
14 + -10w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
14 + -10w = 18 + 0
14 + -10w = 18

Add '-14' to each side of the equation.
14 + -14 + -10w = 18 + -14

Combine like terms: 14 + -14 = 0
0 + -10w = 18 + -14
-10w = 18 + -14

Combine like terms: 18 + -14 = 4
-10w = 4

Divide each side by '-10'.
w = -0.4

Simplifying
w = -0.4

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