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Simplifying (17w + -13) + (-6w + 7) = 0 Reorder the terms: (-13 + 17w) + (-6w + 7) = 0 Remove parenthesis around (-13 + 17w) -13 + 17w + (-6w + 7) = 0 Reorder the terms: -13 + 17w + (7 + -6w) = 0 Remove parenthesis around (7 + -6w) -13 + 17w + 7 + -6w = 0 Reorder the terms: -13 + 7 + 17w + -6w = 0 Combine like terms: -13 + 7 = -6 -6 + 17w + -6w = 0 Combine like terms: 17w + -6w = 11w -6 + 11w = 0 Solving -6 + 11w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 11w = 0 + 6 11w = 0 + 6 Combine like terms: 0 + 6 = 6 11w = 6 Divide each side by '11'. w = 0.5454545455 Simplifying w = 0.5454545455
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