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Simplifying 24 = 4(w + 1) Reorder the terms: 24 = 4(1 + w) 24 = (1 * 4 + w * 4) 24 = (4 + 4w) Solving 24 = 4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 24 + -4w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 24 + -4w = 4 + 0 24 + -4w = 4 Add '-24' to each side of the equation. 24 + -24 + -4w = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = 4 + -24 -4w = 4 + -24 Combine like terms: 4 + -24 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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