3w+24=8(w-2)

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Solution for 3w+24=8(w-2) equation:


Simplifying
3w + 24 = 8(w + -2)

Reorder the terms:
24 + 3w = 8(w + -2)

Reorder the terms:
24 + 3w = 8(-2 + w)
24 + 3w = (-2 * 8 + w * 8)
24 + 3w = (-16 + 8w)

Solving
24 + 3w = -16 + 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.
24 + 3w + -8w = -16 + 8w + -8w

Combine like terms: 3w + -8w = -5w
24 + -5w = -16 + 8w + -8w

Combine like terms: 8w + -8w = 0
24 + -5w = -16 + 0
24 + -5w = -16

Add '-24' to each side of the equation.
24 + -24 + -5w = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -5w = -16 + -24
-5w = -16 + -24

Combine like terms: -16 + -24 = -40
-5w = -40

Divide each side by '-5'.
w = 8

Simplifying
w = 8

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