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Simplifying -1(5y + w) + -3(-6w + -4y) = 0 Reorder the terms: -1(w + 5y) + -3(-6w + -4y) = 0 (w * -1 + 5y * -1) + -3(-6w + -4y) = 0 (-1w + -5y) + -3(-6w + -4y) = 0 -1w + -5y + (-6w * -3 + -4y * -3) = 0 -1w + -5y + (18w + 12y) = 0 Reorder the terms: -1w + 18w + -5y + 12y = 0 Combine like terms: -1w + 18w = 17w 17w + -5y + 12y = 0 Combine like terms: -5y + 12y = 7y 17w + 7y = 0 Solving 17w + 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. 17w + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 17w + 0 = 0 + -7y 17w = 0 + -7y Remove the zero: 17w = -7y Divide each side by '17'. w = -0.4117647059y Simplifying w = -0.4117647059y
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