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Simplifying 4(w + 3) = -2w + -12 Reorder the terms: 4(3 + w) = -2w + -12 (3 * 4 + w * 4) = -2w + -12 (12 + 4w) = -2w + -12 Reorder the terms: 12 + 4w = -12 + -2w Solving 12 + 4w = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 12 + 4w + 2w = -12 + -2w + 2w Combine like terms: 4w + 2w = 6w 12 + 6w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 6w = -12 + 0 12 + 6w = -12 Add '-12' to each side of the equation. 12 + -12 + 6w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = -12 + -12 6w = -12 + -12 Combine like terms: -12 + -12 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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