5w+9=4w-2

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


Simplifying
5w + 9 = 4w + -2

Reorder the terms:
9 + 5w = 4w + -2

Reorder the terms:
9 + 5w = -2 + 4w

Solving
9 + 5w = -2 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
9 + 5w + -4w = -2 + 4w + -4w

Combine like terms: 5w + -4w = 1w
9 + 1w = -2 + 4w + -4w

Combine like terms: 4w + -4w = 0
9 + 1w = -2 + 0
9 + 1w = -2

Add '-9' to each side of the equation.
9 + -9 + 1w = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 1w = -2 + -9
1w = -2 + -9

Combine like terms: -2 + -9 = -11
1w = -11

Divide each side by '1'.
w = -11

Simplifying
w = -11

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