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Simplifying -6w + -24 = 3(w + 7) Reorder the terms: -24 + -6w = 3(w + 7) Reorder the terms: -24 + -6w = 3(7 + w) -24 + -6w = (7 * 3 + w * 3) -24 + -6w = (21 + 3w) Solving -24 + -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. -24 + -6w + -3w = 21 + 3w + -3w Combine like terms: -6w + -3w = -9w -24 + -9w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 -24 + -9w = 21 + 0 -24 + -9w = 21 Add '24' to each side of the equation. -24 + 24 + -9w = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -9w = 21 + 24 -9w = 21 + 24 Combine like terms: 21 + 24 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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