-3w+5(-5w+19)=-2-20-19w

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Solution for -3w+5(-5w+19)=-2-20-19w equation:


Simplifying
-3w + 5(-5w + 19) = -2 + -20 + -19w

Reorder the terms:
-3w + 5(19 + -5w) = -2 + -20 + -19w
-3w + (19 * 5 + -5w * 5) = -2 + -20 + -19w
-3w + (95 + -25w) = -2 + -20 + -19w

Reorder the terms:
95 + -3w + -25w = -2 + -20 + -19w

Combine like terms: -3w + -25w = -28w
95 + -28w = -2 + -20 + -19w

Combine like terms: -2 + -20 = -22
95 + -28w = -22 + -19w

Solving
95 + -28w = -22 + -19w

Solving for variable 'w'.

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

Add '19w' to each side of the equation.
95 + -28w + 19w = -22 + -19w + 19w

Combine like terms: -28w + 19w = -9w
95 + -9w = -22 + -19w + 19w

Combine like terms: -19w + 19w = 0
95 + -9w = -22 + 0
95 + -9w = -22

Add '-95' to each side of the equation.
95 + -95 + -9w = -22 + -95

Combine like terms: 95 + -95 = 0
0 + -9w = -22 + -95
-9w = -22 + -95

Combine like terms: -22 + -95 = -117
-9w = -117

Divide each side by '-9'.
w = 13

Simplifying
w = 13

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