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Simplifying 6w + 24 = -3(w + 4) Reorder the terms: 24 + 6w = -3(w + 4) Reorder the terms: 24 + 6w = -3(4 + w) 24 + 6w = (4 * -3 + w * -3) 24 + 6w = (-12 + -3w) Solving 24 + 6w = -12 + -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 = -12 + -3w + 3w Combine like terms: 6w + 3w = 9w 24 + 9w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 24 + 9w = -12 + 0 24 + 9w = -12 Add '-24' to each side of the equation. 24 + -24 + 9w = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 9w = -12 + -24 9w = -12 + -24 Combine like terms: -12 + -24 = -36 9w = -36 Divide each side by '9'. w = -4 Simplifying w = -4
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