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Simplifying -2(5w + -1y) + 3(3y + w) = 0 (5w * -2 + -1y * -2) + 3(3y + w) = 0 (-10w + 2y) + 3(3y + w) = 0 Reorder the terms: -10w + 2y + 3(w + 3y) = 0 -10w + 2y + (w * 3 + 3y * 3) = 0 -10w + 2y + (3w + 9y) = 0 Reorder the terms: -10w + 3w + 2y + 9y = 0 Combine like terms: -10w + 3w = -7w -7w + 2y + 9y = 0 Combine like terms: 2y + 9y = 11y -7w + 11y = 0 Solving -7w + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11y' to each side of the equation. -7w + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -7w + 0 = 0 + -11y -7w = 0 + -11y Remove the zero: -7w = -11y Divide each side by '-7'. w = 1.571428571y Simplifying w = 1.571428571y
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