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Simplifying 9(2w + -7) = 12 + 3(5w + 2) Reorder the terms: 9(-7 + 2w) = 12 + 3(5w + 2) (-7 * 9 + 2w * 9) = 12 + 3(5w + 2) (-63 + 18w) = 12 + 3(5w + 2) Reorder the terms: -63 + 18w = 12 + 3(2 + 5w) -63 + 18w = 12 + (2 * 3 + 5w * 3) -63 + 18w = 12 + (6 + 15w) Combine like terms: 12 + 6 = 18 -63 + 18w = 18 + 15w Solving -63 + 18w = 18 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -63 + 18w + -15w = 18 + 15w + -15w Combine like terms: 18w + -15w = 3w -63 + 3w = 18 + 15w + -15w Combine like terms: 15w + -15w = 0 -63 + 3w = 18 + 0 -63 + 3w = 18 Add '63' to each side of the equation. -63 + 63 + 3w = 18 + 63 Combine like terms: -63 + 63 = 0 0 + 3w = 18 + 63 3w = 18 + 63 Combine like terms: 18 + 63 = 81 3w = 81 Divide each side by '3'. w = 27 Simplifying w = 27
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