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Simplifying (9 + w) + -6 = 18 + 3w Remove parenthesis around (9 + w) 9 + w + -6 = 18 + 3w Reorder the terms: 9 + -6 + w = 18 + 3w Combine like terms: 9 + -6 = 3 3 + w = 18 + 3w Solving 3 + w = 18 + 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 + w + -3w = 18 + 3w + -3w Combine like terms: w + -3w = -2w 3 + -2w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + -2w = 18 + 0 3 + -2w = 18 Add '-3' to each side of the equation. 3 + -3 + -2w = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 18 + -3 -2w = 18 + -3 Combine like terms: 18 + -3 = 15 -2w = 15 Divide each side by '-2'. w = -7.5 Simplifying w = -7.5
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