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Simplifying -1(-6w + y) + 4(2y + 5w) = 0 (-6w * -1 + y * -1) + 4(2y + 5w) = 0 (6w + -1y) + 4(2y + 5w) = 0 Reorder the terms: 6w + -1y + 4(5w + 2y) = 0 6w + -1y + (5w * 4 + 2y * 4) = 0 6w + -1y + (20w + 8y) = 0 Reorder the terms: 6w + 20w + -1y + 8y = 0 Combine like terms: 6w + 20w = 26w 26w + -1y + 8y = 0 Combine like terms: -1y + 8y = 7y 26w + 7y = 0 Solving 26w + 7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7y' to each side of the equation. 26w + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 26w + 0 = 0 + -7y 26w = 0 + -7y Remove the zero: 26w = -7y Divide each side by '26'. w = -0.2692307692y Simplifying w = -0.2692307692y
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