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Simplifying 4(w + 9) = 2w + 42 Reorder the terms: 4(9 + w) = 2w + 42 (9 * 4 + w * 4) = 2w + 42 (36 + 4w) = 2w + 42 Reorder the terms: 36 + 4w = 42 + 2w Solving 36 + 4w = 42 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 36 + 4w + -2w = 42 + 2w + -2w Combine like terms: 4w + -2w = 2w 36 + 2w = 42 + 2w + -2w Combine like terms: 2w + -2w = 0 36 + 2w = 42 + 0 36 + 2w = 42 Add '-36' to each side of the equation. 36 + -36 + 2w = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 2w = 42 + -36 2w = 42 + -36 Combine like terms: 42 + -36 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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