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Simplifying (3 + -5w + 2y)(-9) = x Reorder the terms for easier multiplication: -9(3 + -5w + 2y) = x (3 * -9 + -5w * -9 + 2y * -9) = x (-27 + 45w + -18y) = x Solving -27 + 45w + -18y = x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 45w + 27 + -18y = 27 + x Reorder the terms: -27 + 27 + 45w + -18y = 27 + x Combine like terms: -27 + 27 = 0 0 + 45w + -18y = 27 + x 45w + -18y = 27 + x Add '18y' to each side of the equation. 45w + -18y + 18y = 27 + x + 18y Combine like terms: -18y + 18y = 0 45w + 0 = 27 + x + 18y 45w = 27 + x + 18y Divide each side by '45'. w = 0.6 + 0.02222222222x + 0.4y Simplifying w = 0.6 + 0.02222222222x + 0.4y
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