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Simplifying -1(-1y + -1w) + 3(-4w + 2y) = 0 Reorder the terms: -1(-1w + -1y) + 3(-4w + 2y) = 0 (-1w * -1 + -1y * -1) + 3(-4w + 2y) = 0 (1w + 1y) + 3(-4w + 2y) = 0 1w + 1y + (-4w * 3 + 2y * 3) = 0 1w + 1y + (-12w + 6y) = 0 Reorder the terms: 1w + -12w + 1y + 6y = 0 Combine like terms: 1w + -12w = -11w -11w + 1y + 6y = 0 Combine like terms: 1y + 6y = 7y -11w + 7y = 0 Solving -11w + 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. -11w + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -11w + 0 = 0 + -7y -11w = 0 + -7y Remove the zero: -11w = -7y Divide each side by '-11'. w = 0.6363636364y Simplifying w = 0.6363636364y
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