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Simplifying -5(w + -6) + 7w = 5(w + 3) Reorder the terms: -5(-6 + w) + 7w = 5(w + 3) (-6 * -5 + w * -5) + 7w = 5(w + 3) (30 + -5w) + 7w = 5(w + 3) Combine like terms: -5w + 7w = 2w 30 + 2w = 5(w + 3) Reorder the terms: 30 + 2w = 5(3 + w) 30 + 2w = (3 * 5 + w * 5) 30 + 2w = (15 + 5w) Solving 30 + 2w = 15 + 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. 30 + 2w + -5w = 15 + 5w + -5w Combine like terms: 2w + -5w = -3w 30 + -3w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + -3w = 15 + 0 30 + -3w = 15 Add '-30' to each side of the equation. 30 + -30 + -3w = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -3w = 15 + -30 -3w = 15 + -30 Combine like terms: 15 + -30 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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