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Simplifying 6(w + -1) + 21 = 3(3w + 5) Reorder the terms: 6(-1 + w) + 21 = 3(3w + 5) (-1 * 6 + w * 6) + 21 = 3(3w + 5) (-6 + 6w) + 21 = 3(3w + 5) Reorder the terms: -6 + 21 + 6w = 3(3w + 5) Combine like terms: -6 + 21 = 15 15 + 6w = 3(3w + 5) Reorder the terms: 15 + 6w = 3(5 + 3w) 15 + 6w = (5 * 3 + 3w * 3) 15 + 6w = (15 + 9w) Add '-15' to each side of the equation. 15 + -15 + 6w = 15 + -15 + 9w Combine like terms: 15 + -15 = 0 0 + 6w = 15 + -15 + 9w 6w = 15 + -15 + 9w Combine like terms: 15 + -15 = 0 6w = 0 + 9w 6w = 9w Solving 6w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 6w + -9w = 9w + -9w Combine like terms: 6w + -9w = -3w -3w = 9w + -9w Combine like terms: 9w + -9w = 0 -3w = 0 Divide each side by '-3'. w = 0 Simplifying w = 0
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