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Simplifying 5(8 + w) = 4w + 3 (8 * 5 + w * 5) = 4w + 3 (40 + 5w) = 4w + 3 Reorder the terms: 40 + 5w = 3 + 4w Solving 40 + 5w = 3 + 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. 40 + 5w + -4w = 3 + 4w + -4w Combine like terms: 5w + -4w = 1w 40 + 1w = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 40 + 1w = 3 + 0 40 + 1w = 3 Add '-40' to each side of the equation. 40 + -40 + 1w = 3 + -40 Combine like terms: 40 + -40 = 0 0 + 1w = 3 + -40 1w = 3 + -40 Combine like terms: 3 + -40 = -37 1w = -37 Divide each side by '1'. w = -37 Simplifying w = -37
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