5(w+3)-6(w+4)=0

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Solution for 5(w+3)-6(w+4)=0 equation: 


Simplifying
5(w + 3) + -6(w + 4) = 0

Reorder the terms:
5(3 + w) + -6(w + 4) = 0
(3 * 5 + w * 5) + -6(w + 4) = 0
(15 + 5w) + -6(w + 4) = 0

Reorder the terms:
15 + 5w + -6(4 + w) = 0
15 + 5w + (4 * -6 + w * -6) = 0
15 + 5w + (-24 + -6w) = 0

Reorder the terms:
15 + -24 + 5w + -6w = 0

Combine like terms: 15 + -24 = -9
-9 + 5w + -6w = 0

Combine like terms: 5w + -6w = -1w
-9 + -1w = 0

Solving
-9 + -1w = 0

Solving for variable 'w'.

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

Add '9' to each side of the equation.
-9 + 9 + -1w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1w = 0 + 9
-1w = 0 + 9

Combine like terms: 0 + 9 = 9
-1w = 9

Divide each side by '-1'.
w = -9

Simplifying
w = -9

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