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Simplifying -2(3y + -1w) + 5(-4w + 4y) = 0 Reorder the terms: -2(-1w + 3y) + 5(-4w + 4y) = 0 (-1w * -2 + 3y * -2) + 5(-4w + 4y) = 0 (2w + -6y) + 5(-4w + 4y) = 0 2w + -6y + (-4w * 5 + 4y * 5) = 0 2w + -6y + (-20w + 20y) = 0 Reorder the terms: 2w + -20w + -6y + 20y = 0 Combine like terms: 2w + -20w = -18w -18w + -6y + 20y = 0 Combine like terms: -6y + 20y = 14y -18w + 14y = 0 Solving -18w + 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. -18w + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 -18w + 0 = 0 + -14y -18w = 0 + -14y Remove the zero: -18w = -14y Divide each side by '-18'. w = 0.7777777778y Simplifying w = 0.7777777778y
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