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Simplifying -7w + 29 = -2(w + -7) Reorder the terms: 29 + -7w = -2(w + -7) Reorder the terms: 29 + -7w = -2(-7 + w) 29 + -7w = (-7 * -2 + w * -2) 29 + -7w = (14 + -2w) Solving 29 + -7w = 14 + -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 + -7w + 2w = 14 + -2w + 2w Combine like terms: -7w + 2w = -5w 29 + -5w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 29 + -5w = 14 + 0 29 + -5w = 14 Add '-29' to each side of the equation. 29 + -29 + -5w = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -5w = 14 + -29 -5w = 14 + -29 Combine like terms: 14 + -29 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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