24=3w+6(w-2)

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Solution for 24=3w+6(w-2) equation:


Simplifying
24 = 3w + 6(w + -2)

Reorder the terms:
24 = 3w + 6(-2 + w)
24 = 3w + (-2 * 6 + w * 6)
24 = 3w + (-12 + 6w)

Reorder the terms:
24 = -12 + 3w + 6w

Combine like terms: 3w + 6w = 9w
24 = -12 + 9w

Solving
24 = -12 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
24 + -9w = -12 + 9w + -9w

Combine like terms: 9w + -9w = 0
24 + -9w = -12 + 0
24 + -9w = -12

Add '-24' to each side of the equation.
24 + -24 + -9w = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -9w = -12 + -24
-9w = -12 + -24

Combine like terms: -12 + -24 = -36
-9w = -36

Divide each side by '-9'.
w = 4

Simplifying
w = 4

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