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Simplifying 4(w + 4) + -8w = -12 Reorder the terms: 4(4 + w) + -8w = -12 (4 * 4 + w * 4) + -8w = -12 (16 + 4w) + -8w = -12 Combine like terms: 4w + -8w = -4w 16 + -4w = -12 Solving 16 + -4w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4w = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4w = -12 + -16 -4w = -12 + -16 Combine like terms: -12 + -16 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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