4(w+9)-(4-2w)=5w

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Solution for 4(w+9)-(4-2w)=5w equation:


Simplifying
4(w + 9) + -1(4 + -2w) = 5w

Reorder the terms:
4(9 + w) + -1(4 + -2w) = 5w
(9 * 4 + w * 4) + -1(4 + -2w) = 5w
(36 + 4w) + -1(4 + -2w) = 5w
36 + 4w + (4 * -1 + -2w * -1) = 5w
36 + 4w + (-4 + 2w) = 5w

Reorder the terms:
36 + -4 + 4w + 2w = 5w

Combine like terms: 36 + -4 = 32
32 + 4w + 2w = 5w

Combine like terms: 4w + 2w = 6w
32 + 6w = 5w

Solving
32 + 6w = 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.
32 + 6w + -5w = 5w + -5w

Combine like terms: 6w + -5w = 1w
32 + 1w = 5w + -5w

Combine like terms: 5w + -5w = 0
32 + 1w = 0

Add '-32' to each side of the equation.
32 + -32 + 1w = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 1w = 0 + -32
1w = 0 + -32

Combine like terms: 0 + -32 = -32
1w = -32

Divide each side by '1'.
w = -32

Simplifying
w = -32

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