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Simplifying 24 = 34 + -6(-1 + -5w) 24 = 34 + (-1 * -6 + -5w * -6) 24 = 34 + (6 + 30w) Combine like terms: 34 + 6 = 40 24 = 40 + 30w Solving 24 = 40 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 24 + -30w = 40 + 30w + -30w Combine like terms: 30w + -30w = 0 24 + -30w = 40 + 0 24 + -30w = 40 Add '-24' to each side of the equation. 24 + -24 + -30w = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -30w = 40 + -24 -30w = 40 + -24 Combine like terms: 40 + -24 = 16 -30w = 16 Divide each side by '-30'. w = -0.5333333333 Simplifying w = -0.5333333333
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