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Simplifying -13w + -19 = -11w + 6 + 9 Reorder the terms: -19 + -13w = -11w + 6 + 9 Reorder the terms: -19 + -13w = 6 + 9 + -11w Combine like terms: 6 + 9 = 15 -19 + -13w = 15 + -11w Solving -19 + -13w = 15 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -19 + -13w + 11w = 15 + -11w + 11w Combine like terms: -13w + 11w = -2w -19 + -2w = 15 + -11w + 11w Combine like terms: -11w + 11w = 0 -19 + -2w = 15 + 0 -19 + -2w = 15 Add '19' to each side of the equation. -19 + 19 + -2w = 15 + 19 Combine like terms: -19 + 19 = 0 0 + -2w = 15 + 19 -2w = 15 + 19 Combine like terms: 15 + 19 = 34 -2w = 34 Divide each side by '-2'. w = -17 Simplifying w = -17
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