19=8w+5(w-4)

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Solution for 19=8w+5(w-4) equation:


Simplifying
19 = 8w + 5(w + -4)

Reorder the terms:
19 = 8w + 5(-4 + w)
19 = 8w + (-4 * 5 + w * 5)
19 = 8w + (-20 + 5w)

Reorder the terms:
19 = -20 + 8w + 5w

Combine like terms: 8w + 5w = 13w
19 = -20 + 13w

Solving
19 = -20 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
19 + -13w = -20 + 13w + -13w

Combine like terms: 13w + -13w = 0
19 + -13w = -20 + 0
19 + -13w = -20

Add '-19' to each side of the equation.
19 + -19 + -13w = -20 + -19

Combine like terms: 19 + -19 = 0
0 + -13w = -20 + -19
-13w = -20 + -19

Combine like terms: -20 + -19 = -39
-13w = -39

Divide each side by '-13'.
w = 3

Simplifying
w = 3

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