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Simplifying 1 + -3(10w + -15) = 9 Reorder the terms: 1 + -3(-15 + 10w) = 9 1 + (-15 * -3 + 10w * -3) = 9 1 + (45 + -30w) = 9 Combine like terms: 1 + 45 = 46 46 + -30w = 9 Solving 46 + -30w = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -30w = 9 + -46 Combine like terms: 46 + -46 = 0 0 + -30w = 9 + -46 -30w = 9 + -46 Combine like terms: 9 + -46 = -37 -30w = -37 Divide each side by '-30'. w = 1.233333333 Simplifying w = 1.233333333
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