5w+3=-3(w-9)

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Solution for 5w+3=-3(w-9) equation:


Simplifying
5w + 3 = -3(w + -9)

Reorder the terms:
3 + 5w = -3(w + -9)

Reorder the terms:
3 + 5w = -3(-9 + w)
3 + 5w = (-9 * -3 + w * -3)
3 + 5w = (27 + -3w)

Solving
3 + 5w = 27 + -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.
3 + 5w + 3w = 27 + -3w + 3w

Combine like terms: 5w + 3w = 8w
3 + 8w = 27 + -3w + 3w

Combine like terms: -3w + 3w = 0
3 + 8w = 27 + 0
3 + 8w = 27

Add '-3' to each side of the equation.
3 + -3 + 8w = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 8w = 27 + -3
8w = 27 + -3

Combine like terms: 27 + -3 = 24
8w = 24

Divide each side by '8'.
w = 3

Simplifying
w = 3

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