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Simplifying 3(w + 1) = w + 19 Reorder the terms: 3(1 + w) = w + 19 (1 * 3 + w * 3) = w + 19 (3 + 3w) = w + 19 Reorder the terms: 3 + 3w = 19 + w Solving 3 + 3w = 19 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 3 + 3w + -1w = 19 + w + -1w Combine like terms: 3w + -1w = 2w 3 + 2w = 19 + w + -1w Combine like terms: w + -1w = 0 3 + 2w = 19 + 0 3 + 2w = 19 Add '-3' to each side of the equation. 3 + -3 + 2w = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 19 + -3 2w = 19 + -3 Combine like terms: 19 + -3 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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