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Simplifying 26 = 26 + -1(8 + 3w) 26 = 26 + (8 * -1 + 3w * -1) 26 = 26 + (-8 + -3w) Combine like terms: 26 + -8 = 18 26 = 18 + -3w Solving 26 = 18 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 26 + 3w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 26 + 3w = 18 + 0 26 + 3w = 18 Add '-26' to each side of the equation. 26 + -26 + 3w = 18 + -26 Combine like terms: 26 + -26 = 0 0 + 3w = 18 + -26 3w = 18 + -26 Combine like terms: 18 + -26 = -8 3w = -8 Divide each side by '3'. w = -2.666666667 Simplifying w = -2.666666667
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