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Simplifying -3(w + -2) = 9w + -30 Reorder the terms: -3(-2 + w) = 9w + -30 (-2 * -3 + w * -3) = 9w + -30 (6 + -3w) = 9w + -30 Reorder the terms: 6 + -3w = -30 + 9w Solving 6 + -3w = -30 + 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. 6 + -3w + -9w = -30 + 9w + -9w Combine like terms: -3w + -9w = -12w 6 + -12w = -30 + 9w + -9w Combine like terms: 9w + -9w = 0 6 + -12w = -30 + 0 6 + -12w = -30 Add '-6' to each side of the equation. 6 + -6 + -12w = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -12w = -30 + -6 -12w = -30 + -6 Combine like terms: -30 + -6 = -36 -12w = -36 Divide each side by '-12'. w = 3 Simplifying w = 3
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