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Simplifying 8(w + 1) + -1(-5w + -2) = 12w Reorder the terms: 8(1 + w) + -1(-5w + -2) = 12w (1 * 8 + w * 8) + -1(-5w + -2) = 12w (8 + 8w) + -1(-5w + -2) = 12w Reorder the terms: 8 + 8w + -1(-2 + -5w) = 12w 8 + 8w + (-2 * -1 + -5w * -1) = 12w 8 + 8w + (2 + 5w) = 12w Reorder the terms: 8 + 2 + 8w + 5w = 12w Combine like terms: 8 + 2 = 10 10 + 8w + 5w = 12w Combine like terms: 8w + 5w = 13w 10 + 13w = 12w Solving 10 + 13w = 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 10 + 13w + -12w = 12w + -12w Combine like terms: 13w + -12w = 1w 10 + 1w = 12w + -12w Combine like terms: 12w + -12w = 0 10 + 1w = 0 Add '-10' to each side of the equation. 10 + -10 + 1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1w = 0 + -10 1w = 0 + -10 Combine like terms: 0 + -10 = -10 1w = -10 Divide each side by '1'. w = -10 Simplifying w = -10
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