3w-7+9w=10-12w+3

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Solution for 3w-7+9w=10-12w+3 equation:


Simplifying
3w + -7 + 9w = 10 + -12w + 3

Reorder the terms:
-7 + 3w + 9w = 10 + -12w + 3

Combine like terms: 3w + 9w = 12w
-7 + 12w = 10 + -12w + 3

Reorder the terms:
-7 + 12w = 10 + 3 + -12w

Combine like terms: 10 + 3 = 13
-7 + 12w = 13 + -12w

Solving
-7 + 12w = 13 + -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.
-7 + 12w + 12w = 13 + -12w + 12w

Combine like terms: 12w + 12w = 24w
-7 + 24w = 13 + -12w + 12w

Combine like terms: -12w + 12w = 0
-7 + 24w = 13 + 0
-7 + 24w = 13

Add '7' to each side of the equation.
-7 + 7 + 24w = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 24w = 13 + 7
24w = 13 + 7

Combine like terms: 13 + 7 = 20
24w = 20

Divide each side by '24'.
w = 0.8333333333

Simplifying
w = 0.8333333333

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