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Simplifying -4(-2w + y) + -5(-3y + -6w) = 0 (-2w * -4 + y * -4) + -5(-3y + -6w) = 0 (8w + -4y) + -5(-3y + -6w) = 0 Reorder the terms: 8w + -4y + -5(-6w + -3y) = 0 8w + -4y + (-6w * -5 + -3y * -5) = 0 8w + -4y + (30w + 15y) = 0 Reorder the terms: 8w + 30w + -4y + 15y = 0 Combine like terms: 8w + 30w = 38w 38w + -4y + 15y = 0 Combine like terms: -4y + 15y = 11y 38w + 11y = 0 Solving 38w + 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. 38w + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 38w + 0 = 0 + -11y 38w = 0 + -11y Remove the zero: 38w = -11y Divide each side by '38'. w = -0.2894736842y Simplifying w = -0.2894736842y
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