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Simplifying 8(w + 1) = 4w + 40 Reorder the terms: 8(1 + w) = 4w + 40 (1 * 8 + w * 8) = 4w + 40 (8 + 8w) = 4w + 40 Reorder the terms: 8 + 8w = 40 + 4w Solving 8 + 8w = 40 + 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. 8 + 8w + -4w = 40 + 4w + -4w Combine like terms: 8w + -4w = 4w 8 + 4w = 40 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 4w = 40 + 0 8 + 4w = 40 Add '-8' to each side of the equation. 8 + -8 + 4w = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 40 + -8 4w = 40 + -8 Combine like terms: 40 + -8 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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