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

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


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

Reorder the terms:
6(4 + w) = -9w + -6
(4 * 6 + w * 6) = -9w + -6
(24 + 6w) = -9w + -6

Reorder the terms:
24 + 6w = -6 + -9w

Solving
24 + 6w = -6 + -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.
24 + 6w + 9w = -6 + -9w + 9w

Combine like terms: 6w + 9w = 15w
24 + 15w = -6 + -9w + 9w

Combine like terms: -9w + 9w = 0
24 + 15w = -6 + 0
24 + 15w = -6

Add '-24' to each side of the equation.
24 + -24 + 15w = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 15w = -6 + -24
15w = -6 + -24

Combine like terms: -6 + -24 = -30
15w = -30

Divide each side by '15'.
w = -2

Simplifying
w = -2

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