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Simplifying 8(w + 3) = -4w + 12 Reorder the terms: 8(3 + w) = -4w + 12 (3 * 8 + w * 8) = -4w + 12 (24 + 8w) = -4w + 12 Reorder the terms: 24 + 8w = 12 + -4w Solving 24 + 8w = 12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 24 + 8w + 4w = 12 + -4w + 4w Combine like terms: 8w + 4w = 12w 24 + 12w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 24 + 12w = 12 + 0 24 + 12w = 12 Add '-24' to each side of the equation. 24 + -24 + 12w = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 12w = 12 + -24 12w = 12 + -24 Combine like terms: 12 + -24 = -12 12w = -12 Divide each side by '12'. w = -1 Simplifying w = -1
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