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Simplifying 81x + -9(9x + -1y + 2z) = 0 81x + (9x * -9 + -1y * -9 + 2z * -9) = 0 81x + (-81x + 9y + -18z) = 0 Combine like terms: 81x + -81x = 0 0 + 9y + -18z = 0 9y + -18z = 0 Solving 9y + -18z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18z' to each side of the equation. 9y + -18z + 18z = 0 + 18z Combine like terms: -18z + 18z = 0 9y + 0 = 0 + 18z 9y = 0 + 18z Remove the zero: 9y = 18z Divide each side by '9'. y = 2z Simplifying y = 2z
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