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Simplifying 6w + 9 = 10 + -7w + -6w Reorder the terms: 9 + 6w = 10 + -7w + -6w Combine like terms: -7w + -6w = -13w 9 + 6w = 10 + -13w Solving 9 + 6w = 10 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. 9 + 6w + 13w = 10 + -13w + 13w Combine like terms: 6w + 13w = 19w 9 + 19w = 10 + -13w + 13w Combine like terms: -13w + 13w = 0 9 + 19w = 10 + 0 9 + 19w = 10 Add '-9' to each side of the equation. 9 + -9 + 19w = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 19w = 10 + -9 19w = 10 + -9 Combine like terms: 10 + -9 = 1 19w = 1 Divide each side by '19'. w = 0.05263157895 Simplifying w = 0.05263157895
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