4(w+1)=-5w+22

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Solution for 4(w+1)=-5w+22 equation:


Simplifying
4(w + 1) = -5w + 22

Reorder the terms:
4(1 + w) = -5w + 22
(1 * 4 + w * 4) = -5w + 22
(4 + 4w) = -5w + 22

Reorder the terms:
4 + 4w = 22 + -5w

Solving
4 + 4w = 22 + -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.
4 + 4w + 5w = 22 + -5w + 5w

Combine like terms: 4w + 5w = 9w
4 + 9w = 22 + -5w + 5w

Combine like terms: -5w + 5w = 0
4 + 9w = 22 + 0
4 + 9w = 22

Add '-4' to each side of the equation.
4 + -4 + 9w = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 9w = 22 + -4
9w = 22 + -4

Combine like terms: 22 + -4 = 18
9w = 18

Divide each side by '9'.
w = 2

Simplifying
w = 2

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