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Simplifying -5w + -13 = 6w + 9 Reorder the terms: -13 + -5w = 6w + 9 Reorder the terms: -13 + -5w = 9 + 6w Solving -13 + -5w = 9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -13 + -5w + -6w = 9 + 6w + -6w Combine like terms: -5w + -6w = -11w -13 + -11w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 -13 + -11w = 9 + 0 -13 + -11w = 9 Add '13' to each side of the equation. -13 + 13 + -11w = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -11w = 9 + 13 -11w = 9 + 13 Combine like terms: 9 + 13 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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