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Simplifying (5 + -2y + 3w)(9) = 0 Reorder the terms: (5 + 3w + -2y)(9) = 0 Reorder the terms for easier multiplication: 9(5 + 3w + -2y) = 0 (5 * 9 + 3w * 9 + -2y * 9) = 0 (45 + 27w + -18y) = 0 Solving 45 + 27w + -18y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 27w + -45 + -18y = 0 + -45 Reorder the terms: 45 + -45 + 27w + -18y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 27w + -18y = 0 + -45 27w + -18y = 0 + -45 Combine like terms: 0 + -45 = -45 27w + -18y = -45 Add '18y' to each side of the equation. 27w + -18y + 18y = -45 + 18y Combine like terms: -18y + 18y = 0 27w + 0 = -45 + 18y 27w = -45 + 18y Divide each side by '27'. w = -1.666666667 + 0.6666666667y Simplifying w = -1.666666667 + 0.6666666667y
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