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Simplifying (x + 5y + -2z) + -1(x + -4y + 3z) = 0 Remove parenthesis around (x + 5y + -2z) x + 5y + -2z + -1(x + -4y + 3z) = 0 x + 5y + -2z + (x * -1 + -4y * -1 + 3z * -1) = 0 x + 5y + -2z + (-1x + 4y + -3z) = 0 Reorder the terms: x + -1x + 5y + 4y + -2z + -3z = 0 Combine like terms: x + -1x = 0 0 + 5y + 4y + -2z + -3z = 0 5y + 4y + -2z + -3z = 0 Combine like terms: 5y + 4y = 9y 9y + -2z + -3z = 0 Combine like terms: -2z + -3z = -5z 9y + -5z = 0 Solving 9y + -5z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5z' to each side of the equation. 9y + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 9y + 0 = 0 + 5z 9y = 0 + 5z Remove the zero: 9y = 5z Divide each side by '9'. y = 0.5555555556z Simplifying y = 0.5555555556z
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