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Simplifying -1w + 4(w + 16) = -12 Reorder the terms: -1w + 4(16 + w) = -12 -1w + (16 * 4 + w * 4) = -12 -1w + (64 + 4w) = -12 Reorder the terms: 64 + -1w + 4w = -12 Combine like terms: -1w + 4w = 3w 64 + 3w = -12 Solving 64 + 3w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 3w = -12 + -64 Combine like terms: 64 + -64 = 0 0 + 3w = -12 + -64 3w = -12 + -64 Combine like terms: -12 + -64 = -76 3w = -76 Divide each side by '3'. w = -25.33333333 Simplifying w = -25.33333333
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