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Simplifying -1(-1w + y) + -4(-2y + -2w) = 0 (-1w * -1 + y * -1) + -4(-2y + -2w) = 0 (1w + -1y) + -4(-2y + -2w) = 0 Reorder the terms: 1w + -1y + -4(-2w + -2y) = 0 1w + -1y + (-2w * -4 + -2y * -4) = 0 1w + -1y + (8w + 8y) = 0 Reorder the terms: 1w + 8w + -1y + 8y = 0 Combine like terms: 1w + 8w = 9w 9w + -1y + 8y = 0 Combine like terms: -1y + 8y = 7y 9w + 7y = 0 Solving 9w + 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. 9w + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 9w + 0 = 0 + -7y 9w = 0 + -7y Remove the zero: 9w = -7y Divide each side by '9'. w = -0.7777777778y Simplifying w = -0.7777777778y
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