10w-4=-12w-13+19w

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Solution for 10w-4=-12w-13+19w equation:


Simplifying
10w + -4 = -12w + -13 + 19w

Reorder the terms:
-4 + 10w = -12w + -13 + 19w

Reorder the terms:
-4 + 10w = -13 + -12w + 19w

Combine like terms: -12w + 19w = 7w
-4 + 10w = -13 + 7w

Solving
-4 + 10w = -13 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-4 + 10w + -7w = -13 + 7w + -7w

Combine like terms: 10w + -7w = 3w
-4 + 3w = -13 + 7w + -7w

Combine like terms: 7w + -7w = 0
-4 + 3w = -13 + 0
-4 + 3w = -13

Add '4' to each side of the equation.
-4 + 4 + 3w = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 3w = -13 + 4
3w = -13 + 4

Combine like terms: -13 + 4 = -9
3w = -9

Divide each side by '3'.
w = -3

Simplifying
w = -3

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