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Simplifying -4w + 28 = 5(w + -7) Reorder the terms: 28 + -4w = 5(w + -7) Reorder the terms: 28 + -4w = 5(-7 + w) 28 + -4w = (-7 * 5 + w * 5) 28 + -4w = (-35 + 5w) Solving 28 + -4w = -35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 28 + -4w + -5w = -35 + 5w + -5w Combine like terms: -4w + -5w = -9w 28 + -9w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 28 + -9w = -35 + 0 28 + -9w = -35 Add '-28' to each side of the equation. 28 + -28 + -9w = -35 + -28 Combine like terms: 28 + -28 = 0 0 + -9w = -35 + -28 -9w = -35 + -28 Combine like terms: -35 + -28 = -63 -9w = -63 Divide each side by '-9'. w = 7 Simplifying w = 7
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