5w+9=-8(w-6)

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Solution for 5w+9=-8(w-6) equation:


Simplifying
5w + 9 = -8(w + -6)

Reorder the terms:
9 + 5w = -8(w + -6)

Reorder the terms:
9 + 5w = -8(-6 + w)
9 + 5w = (-6 * -8 + w * -8)
9 + 5w = (48 + -8w)

Solving
9 + 5w = 48 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
9 + 5w + 8w = 48 + -8w + 8w

Combine like terms: 5w + 8w = 13w
9 + 13w = 48 + -8w + 8w

Combine like terms: -8w + 8w = 0
9 + 13w = 48 + 0
9 + 13w = 48

Add '-9' to each side of the equation.
9 + -9 + 13w = 48 + -9

Combine like terms: 9 + -9 = 0
0 + 13w = 48 + -9
13w = 48 + -9

Combine like terms: 48 + -9 = 39
13w = 39

Divide each side by '13'.
w = 3

Simplifying
w = 3

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