3w-29=-5(w+9)

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Solution for 3w-29=-5(w+9) equation:


Simplifying
3w + -29 = -5(w + 9)

Reorder the terms:
-29 + 3w = -5(w + 9)

Reorder the terms:
-29 + 3w = -5(9 + w)
-29 + 3w = (9 * -5 + w * -5)
-29 + 3w = (-45 + -5w)

Solving
-29 + 3w = -45 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-29 + 3w + 5w = -45 + -5w + 5w

Combine like terms: 3w + 5w = 8w
-29 + 8w = -45 + -5w + 5w

Combine like terms: -5w + 5w = 0
-29 + 8w = -45 + 0
-29 + 8w = -45

Add '29' to each side of the equation.
-29 + 29 + 8w = -45 + 29

Combine like terms: -29 + 29 = 0
0 + 8w = -45 + 29
8w = -45 + 29

Combine like terms: -45 + 29 = -16
8w = -16

Divide each side by '8'.
w = -2

Simplifying
w = -2

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