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Simplifying -1(6y + w) + -2(-2w + 4y) = 0 Reorder the terms: -1(w + 6y) + -2(-2w + 4y) = 0 (w * -1 + 6y * -1) + -2(-2w + 4y) = 0 (-1w + -6y) + -2(-2w + 4y) = 0 -1w + -6y + (-2w * -2 + 4y * -2) = 0 -1w + -6y + (4w + -8y) = 0 Reorder the terms: -1w + 4w + -6y + -8y = 0 Combine like terms: -1w + 4w = 3w 3w + -6y + -8y = 0 Combine like terms: -6y + -8y = -14y 3w + -14y = 0 Solving 3w + -14y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14y' to each side of the equation. 3w + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 3w + 0 = 0 + 14y 3w = 0 + 14y Remove the zero: 3w = 14y Divide each side by '3'. w = 4.666666667y Simplifying w = 4.666666667y
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