2(-19w+16)+8w=-8(w-15)

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Solution for 2(-19w+16)+8w=-8(w-15) equation:


Simplifying
2(-19w + 16) + 8w = -8(w + -15)

Reorder the terms:
2(16 + -19w) + 8w = -8(w + -15)
(16 * 2 + -19w * 2) + 8w = -8(w + -15)
(32 + -38w) + 8w = -8(w + -15)

Combine like terms: -38w + 8w = -30w
32 + -30w = -8(w + -15)

Reorder the terms:
32 + -30w = -8(-15 + w)
32 + -30w = (-15 * -8 + w * -8)
32 + -30w = (120 + -8w)

Solving
32 + -30w = 120 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
32 + -30w + 8w = 120 + -8w + 8w

Combine like terms: -30w + 8w = -22w
32 + -22w = 120 + -8w + 8w

Combine like terms: -8w + 8w = 0
32 + -22w = 120 + 0
32 + -22w = 120

Add '-32' to each side of the equation.
32 + -32 + -22w = 120 + -32

Combine like terms: 32 + -32 = 0
0 + -22w = 120 + -32
-22w = 120 + -32

Combine like terms: 120 + -32 = 88
-22w = 88

Divide each side by '-22'.
w = -4

Simplifying
w = -4

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