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Simplifying 11(5 + -1w) + 3 = -3(w + -3) + -9 (5 * 11 + -1w * 11) + 3 = -3(w + -3) + -9 (55 + -11w) + 3 = -3(w + -3) + -9 Reorder the terms: 55 + 3 + -11w = -3(w + -3) + -9 Combine like terms: 55 + 3 = 58 58 + -11w = -3(w + -3) + -9 Reorder the terms: 58 + -11w = -3(-3 + w) + -9 58 + -11w = (-3 * -3 + w * -3) + -9 58 + -11w = (9 + -3w) + -9 Reorder the terms: 58 + -11w = 9 + -9 + -3w Combine like terms: 9 + -9 = 0 58 + -11w = 0 + -3w 58 + -11w = -3w Solving 58 + -11w = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 58 + -11w + 3w = -3w + 3w Combine like terms: -11w + 3w = -8w 58 + -8w = -3w + 3w Combine like terms: -3w + 3w = 0 58 + -8w = 0 Add '-58' to each side of the equation. 58 + -58 + -8w = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -8w = 0 + -58 -8w = 0 + -58 Combine like terms: 0 + -58 = -58 -8w = -58 Divide each side by '-8'. w = 7.25 Simplifying w = 7.25
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