19=-3w+8(w-2)

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Solution for 19=-3w+8(w-2) equation:


Simplifying
19 = -3w + 8(w + -2)

Reorder the terms:
19 = -3w + 8(-2 + w)
19 = -3w + (-2 * 8 + w * 8)
19 = -3w + (-16 + 8w)

Reorder the terms:
19 = -16 + -3w + 8w

Combine like terms: -3w + 8w = 5w
19 = -16 + 5w

Solving
19 = -16 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
19 + -5w = -16 + 5w + -5w

Combine like terms: 5w + -5w = 0
19 + -5w = -16 + 0
19 + -5w = -16

Add '-19' to each side of the equation.
19 + -19 + -5w = -16 + -19

Combine like terms: 19 + -19 = 0
0 + -5w = -16 + -19
-5w = -16 + -19

Combine like terms: -16 + -19 = -35
-5w = -35

Divide each side by '-5'.
w = 7

Simplifying
w = 7

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