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