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Simplifying 4(w + 1) = -4w + 36 Reorder the terms: 4(1 + w) = -4w + 36 (1 * 4 + w * 4) = -4w + 36 (4 + 4w) = -4w + 36 Reorder the terms: 4 + 4w = 36 + -4w Solving 4 + 4w = 36 + -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. 4 + 4w + 4w = 36 + -4w + 4w Combine like terms: 4w + 4w = 8w 4 + 8w = 36 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 8w = 36 + 0 4 + 8w = 36 Add '-4' to each side of the equation. 4 + -4 + 8w = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 36 + -4 8w = 36 + -4 Combine like terms: 36 + -4 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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