4(w+9)=2w+32

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Solution for 4(w+9)=2w+32 equation:


Simplifying
4(w + 9) = 2w + 32

Reorder the terms:
4(9 + w) = 2w + 32
(9 * 4 + w * 4) = 2w + 32
(36 + 4w) = 2w + 32

Reorder the terms:
36 + 4w = 32 + 2w

Solving
36 + 4w = 32 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
36 + 4w + -2w = 32 + 2w + -2w

Combine like terms: 4w + -2w = 2w
36 + 2w = 32 + 2w + -2w

Combine like terms: 2w + -2w = 0
36 + 2w = 32 + 0
36 + 2w = 32

Add '-36' to each side of the equation.
36 + -36 + 2w = 32 + -36

Combine like terms: 36 + -36 = 0
0 + 2w = 32 + -36
2w = 32 + -36

Combine like terms: 32 + -36 = -4
2w = -4

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

Simplifying
w = -2

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