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Simplifying -3(3w + -1y) + -2(4y + -2w) = 0 (3w * -3 + -1y * -3) + -2(4y + -2w) = 0 (-9w + 3y) + -2(4y + -2w) = 0 Reorder the terms: -9w + 3y + -2(-2w + 4y) = 0 -9w + 3y + (-2w * -2 + 4y * -2) = 0 -9w + 3y + (4w + -8y) = 0 Reorder the terms: -9w + 4w + 3y + -8y = 0 Combine like terms: -9w + 4w = -5w -5w + 3y + -8y = 0 Combine like terms: 3y + -8y = -5y -5w + -5y = 0 Solving -5w + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5y' to each side of the equation. -5w + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -5w + 0 = 0 + 5y -5w = 0 + 5y Remove the zero: -5w = 5y Divide each side by '-5'. w = -1y Simplifying w = -1y
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