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Simplifying 4(w + 5) = 5 + 3w Reorder the terms: 4(5 + w) = 5 + 3w (5 * 4 + w * 4) = 5 + 3w (20 + 4w) = 5 + 3w Solving 20 + 4w = 5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 20 + 4w + -3w = 5 + 3w + -3w Combine like terms: 4w + -3w = 1w 20 + 1w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 20 + 1w = 5 + 0 20 + 1w = 5 Add '-20' to each side of the equation. 20 + -20 + 1w = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = 5 + -20 1w = 5 + -20 Combine like terms: 5 + -20 = -15 1w = -15 Divide each side by '1'. w = -15 Simplifying w = -15
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