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Simplifying -5w + 29 = -2(w + -4) Reorder the terms: 29 + -5w = -2(w + -4) Reorder the terms: 29 + -5w = -2(-4 + w) 29 + -5w = (-4 * -2 + w * -2) 29 + -5w = (8 + -2w) Solving 29 + -5w = 8 + -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. 29 + -5w + 2w = 8 + -2w + 2w Combine like terms: -5w + 2w = -3w 29 + -3w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 29 + -3w = 8 + 0 29 + -3w = 8 Add '-29' to each side of the equation. 29 + -29 + -3w = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -3w = 8 + -29 -3w = 8 + -29 Combine like terms: 8 + -29 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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