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Simplifying 7 + 2(w + 1) = 3w + 9 Reorder the terms: 7 + 2(1 + w) = 3w + 9 7 + (1 * 2 + w * 2) = 3w + 9 7 + (2 + 2w) = 3w + 9 Combine like terms: 7 + 2 = 9 9 + 2w = 3w + 9 Reorder the terms: 9 + 2w = 9 + 3w Add '-9' to each side of the equation. 9 + -9 + 2w = 9 + -9 + 3w Combine like terms: 9 + -9 = 0 0 + 2w = 9 + -9 + 3w 2w = 9 + -9 + 3w Combine like terms: 9 + -9 = 0 2w = 0 + 3w 2w = 3w Solving 2w = 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. 2w + -3w = 3w + -3w Combine like terms: 2w + -3w = -1w -1w = 3w + -3w Combine like terms: 3w + -3w = 0 -1w = 0 Divide each side by '-1'. w = 0 Simplifying w = 0
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