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Simplifying 14 + (w + -5) = 6 + -2w Reorder the terms: 14 + (-5 + w) = 6 + -2w Remove parenthesis around (-5 + w) 14 + -5 + w = 6 + -2w Combine like terms: 14 + -5 = 9 9 + w = 6 + -2w Solving 9 + w = 6 + -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. 9 + w + 2w = 6 + -2w + 2w Combine like terms: w + 2w = 3w 9 + 3w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 9 + 3w = 6 + 0 9 + 3w = 6 Add '-9' to each side of the equation. 9 + -9 + 3w = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = 6 + -9 3w = 6 + -9 Combine like terms: 6 + -9 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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