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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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