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Simplifying 26 + -19w = -6w + 41 Reorder the terms: 26 + -19w = 41 + -6w Solving 26 + -19w = 41 + -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. 26 + -19w + 6w = 41 + -6w + 6w Combine like terms: -19w + 6w = -13w 26 + -13w = 41 + -6w + 6w Combine like terms: -6w + 6w = 0 26 + -13w = 41 + 0 26 + -13w = 41 Add '-26' to each side of the equation. 26 + -26 + -13w = 41 + -26 Combine like terms: 26 + -26 = 0 0 + -13w = 41 + -26 -13w = 41 + -26 Combine like terms: 41 + -26 = 15 -13w = 15 Divide each side by '-13'. w = -1.153846154 Simplifying w = -1.153846154
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