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Simplifying 3w + -5(9w + -8) = 0 Reorder the terms: 3w + -5(-8 + 9w) = 0 3w + (-8 * -5 + 9w * -5) = 0 3w + (40 + -45w) = 0 Reorder the terms: 40 + 3w + -45w = 0 Combine like terms: 3w + -45w = -42w 40 + -42w = 0 Solving 40 + -42w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -42w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -42w = 0 + -40 -42w = 0 + -40 Combine like terms: 0 + -40 = -40 -42w = -40 Divide each side by '-42'. w = 0.9523809524 Simplifying w = 0.9523809524
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