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

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


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

Reorder the terms:
6(5 + w) = -3(4w + -7) + 3w
(5 * 6 + w * 6) = -3(4w + -7) + 3w
(30 + 6w) = -3(4w + -7) + 3w

Reorder the terms:
30 + 6w = -3(-7 + 4w) + 3w
30 + 6w = (-7 * -3 + 4w * -3) + 3w
30 + 6w = (21 + -12w) + 3w

Combine like terms: -12w + 3w = -9w
30 + 6w = 21 + -9w

Solving
30 + 6w = 21 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
30 + 6w + 9w = 21 + -9w + 9w

Combine like terms: 6w + 9w = 15w
30 + 15w = 21 + -9w + 9w

Combine like terms: -9w + 9w = 0
30 + 15w = 21 + 0
30 + 15w = 21

Add '-30' to each side of the equation.
30 + -30 + 15w = 21 + -30

Combine like terms: 30 + -30 = 0
0 + 15w = 21 + -30
15w = 21 + -30

Combine like terms: 21 + -30 = -9
15w = -9

Divide each side by '15'.
w = -0.6

Simplifying
w = -0.6

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