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Simplifying 4w + 3 = 3(w + 5) Reorder the terms: 3 + 4w = 3(w + 5) Reorder the terms: 3 + 4w = 3(5 + w) 3 + 4w = (5 * 3 + w * 3) 3 + 4w = (15 + 3w) Solving 3 + 4w = 15 + 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. 3 + 4w + -3w = 15 + 3w + -3w Combine like terms: 4w + -3w = 1w 3 + 1w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + 1w = 15 + 0 3 + 1w = 15 Add '-3' to each side of the equation. 3 + -3 + 1w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 15 + -3 1w = 15 + -3 Combine like terms: 15 + -3 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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