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Simplifying 6(w + 5) = 3w + 21 Reorder the terms: 6(5 + w) = 3w + 21 (5 * 6 + w * 6) = 3w + 21 (30 + 6w) = 3w + 21 Reorder the terms: 30 + 6w = 21 + 3w Solving 30 + 6w = 21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 30 + 6w + -3w = 21 + 3w + -3w Combine like terms: 6w + -3w = 3w 30 + 3w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 30 + 3w = 21 + 0 30 + 3w = 21 Add '-30' to each side of the equation. 30 + -30 + 3w = 21 + -30 Combine like terms: 30 + -30 = 0 0 + 3w = 21 + -30 3w = 21 + -30 Combine like terms: 21 + -30 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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