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Simplifying 5w + 29 = -6(w + -3) Reorder the terms: 29 + 5w = -6(w + -3) Reorder the terms: 29 + 5w = -6(-3 + w) 29 + 5w = (-3 * -6 + w * -6) 29 + 5w = (18 + -6w) Solving 29 + 5w = 18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 29 + 5w + 6w = 18 + -6w + 6w Combine like terms: 5w + 6w = 11w 29 + 11w = 18 + -6w + 6w Combine like terms: -6w + 6w = 0 29 + 11w = 18 + 0 29 + 11w = 18 Add '-29' to each side of the equation. 29 + -29 + 11w = 18 + -29 Combine like terms: 29 + -29 = 0 0 + 11w = 18 + -29 11w = 18 + -29 Combine like terms: 18 + -29 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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