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Simplifying -3(6w + y) + (5y + -1w) = 0 (6w * -3 + y * -3) + (5y + -1w) = 0 (-18w + -3y) + (5y + -1w) = 0 Reorder the terms: -18w + -3y + (-1w + 5y) = 0 Remove parenthesis around (-1w + 5y) -18w + -3y + -1w + 5y = 0 Reorder the terms: -18w + -1w + -3y + 5y = 0 Combine like terms: -18w + -1w = -19w -19w + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y -19w + 2y = 0 Solving -19w + 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. -19w + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -19w + 0 = 0 + -2y -19w = 0 + -2y Remove the zero: -19w = -2y Divide each side by '-19'. w = 0.1052631579y Simplifying w = 0.1052631579y
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