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Simplifying 9(w + -3) = 3w + -21 Reorder the terms: 9(-3 + w) = 3w + -21 (-3 * 9 + w * 9) = 3w + -21 (-27 + 9w) = 3w + -21 Reorder the terms: -27 + 9w = -21 + 3w Solving -27 + 9w = -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. -27 + 9w + -3w = -21 + 3w + -3w Combine like terms: 9w + -3w = 6w -27 + 6w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -27 + 6w = -21 + 0 -27 + 6w = -21 Add '27' to each side of the equation. -27 + 27 + 6w = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 6w = -21 + 27 6w = -21 + 27 Combine like terms: -21 + 27 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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