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Simplifying -3(w + 1) = 6w + 24 Reorder the terms: -3(1 + w) = 6w + 24 (1 * -3 + w * -3) = 6w + 24 (-3 + -3w) = 6w + 24 Reorder the terms: -3 + -3w = 24 + 6w Solving -3 + -3w = 24 + 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. -3 + -3w + -6w = 24 + 6w + -6w Combine like terms: -3w + -6w = -9w -3 + -9w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + -9w = 24 + 0 -3 + -9w = 24 Add '3' to each side of the equation. -3 + 3 + -9w = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -9w = 24 + 3 -9w = 24 + 3 Combine like terms: 24 + 3 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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