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Simplifying -5w + 7 = -29 + -1w Reorder the terms: 7 + -5w = -29 + -1w Solving 7 + -5w = -29 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 7 + -5w + w = -29 + -1w + w Combine like terms: -5w + w = -4w 7 + -4w = -29 + -1w + w Combine like terms: -1w + w = 0 7 + -4w = -29 + 0 7 + -4w = -29 Add '-7' to each side of the equation. 7 + -7 + -4w = -29 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = -29 + -7 -4w = -29 + -7 Combine like terms: -29 + -7 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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