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Simplifying -7w + 3(w + 4) = 24 Reorder the terms: -7w + 3(4 + w) = 24 -7w + (4 * 3 + w * 3) = 24 -7w + (12 + 3w) = 24 Reorder the terms: 12 + -7w + 3w = 24 Combine like terms: -7w + 3w = -4w 12 + -4w = 24 Solving 12 + -4w = 24 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 + -4w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4w = 24 + -12 -4w = 24 + -12 Combine like terms: 24 + -12 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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