2(4w-3)+5w=-19

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Solution for 2(4w-3)+5w=-19 equation:


Simplifying
2(4w + -3) + 5w = -19

Reorder the terms:
2(-3 + 4w) + 5w = -19
(-3 * 2 + 4w * 2) + 5w = -19
(-6 + 8w) + 5w = -19

Combine like terms: 8w + 5w = 13w
-6 + 13w = -19

Solving
-6 + 13w = -19

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 13w = -19 + 6

Combine like terms: -6 + 6 = 0
0 + 13w = -19 + 6
13w = -19 + 6

Combine like terms: -19 + 6 = -13
13w = -13

Divide each side by '13'.
w = -1

Simplifying
w = -1

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