7w+23=4w+8w-22

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Solution for 7w+23=4w+8w-22 equation:


Simplifying
7w + 23 = 4w + 8w + -22

Reorder the terms:
23 + 7w = 4w + 8w + -22

Reorder the terms:
23 + 7w = -22 + 4w + 8w

Combine like terms: 4w + 8w = 12w
23 + 7w = -22 + 12w

Solving
23 + 7w = -22 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
23 + 7w + -12w = -22 + 12w + -12w

Combine like terms: 7w + -12w = -5w
23 + -5w = -22 + 12w + -12w

Combine like terms: 12w + -12w = 0
23 + -5w = -22 + 0
23 + -5w = -22

Add '-23' to each side of the equation.
23 + -23 + -5w = -22 + -23

Combine like terms: 23 + -23 = 0
0 + -5w = -22 + -23
-5w = -22 + -23

Combine like terms: -22 + -23 = -45
-5w = -45

Divide each side by '-5'.
w = 9

Simplifying
w = 9

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