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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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