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