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Simplifying -2(y + -1w) + -2(-3w + -2y) = 0 Reorder the terms: -2(-1w + y) + -2(-3w + -2y) = 0 (-1w * -2 + y * -2) + -2(-3w + -2y) = 0 (2w + -2y) + -2(-3w + -2y) = 0 2w + -2y + (-3w * -2 + -2y * -2) = 0 2w + -2y + (6w + 4y) = 0 Reorder the terms: 2w + 6w + -2y + 4y = 0 Combine like terms: 2w + 6w = 8w 8w + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 8w + 2y = 0 Solving 8w + 2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2y' to each side of the equation. 8w + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 8w + 0 = 0 + -2y 8w = 0 + -2y Remove the zero: 8w = -2y Divide each side by '8'. w = -0.25y Simplifying w = -0.25y
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