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Simplifying 9(w + 1) = 6w + -21 Reorder the terms: 9(1 + w) = 6w + -21 (1 * 9 + w * 9) = 6w + -21 (9 + 9w) = 6w + -21 Reorder the terms: 9 + 9w = -21 + 6w Solving 9 + 9w = -21 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 9 + 9w + -6w = -21 + 6w + -6w Combine like terms: 9w + -6w = 3w 9 + 3w = -21 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + 3w = -21 + 0 9 + 3w = -21 Add '-9' to each side of the equation. 9 + -9 + 3w = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = -21 + -9 3w = -21 + -9 Combine like terms: -21 + -9 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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