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Simplifying 8w + -3(12w + -5) = -2w + -11 Reorder the terms: 8w + -3(-5 + 12w) = -2w + -11 8w + (-5 * -3 + 12w * -3) = -2w + -11 8w + (15 + -36w) = -2w + -11 Reorder the terms: 15 + 8w + -36w = -2w + -11 Combine like terms: 8w + -36w = -28w 15 + -28w = -2w + -11 Reorder the terms: 15 + -28w = -11 + -2w Solving 15 + -28w = -11 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 15 + -28w + 2w = -11 + -2w + 2w Combine like terms: -28w + 2w = -26w 15 + -26w = -11 + -2w + 2w Combine like terms: -2w + 2w = 0 15 + -26w = -11 + 0 15 + -26w = -11 Add '-15' to each side of the equation. 15 + -15 + -26w = -11 + -15 Combine like terms: 15 + -15 = 0 0 + -26w = -11 + -15 -26w = -11 + -15 Combine like terms: -11 + -15 = -26 -26w = -26 Divide each side by '-26'. w = 1 Simplifying w = 1
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