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Simplifying 30x + -1y + -5(6x + -9y + 2z) = 30x + -1y + -30x + 45y 30x + -1y + (6x * -5 + -9y * -5 + 2z * -5) = 30x + -1y + -30x + 45y 30x + -1y + (-30x + 45y + -10z) = 30x + -1y + -30x + 45y Reorder the terms: 30x + -30x + -1y + 45y + -10z = 30x + -1y + -30x + 45y Combine like terms: 30x + -30x = 0 0 + -1y + 45y + -10z = 30x + -1y + -30x + 45y -1y + 45y + -10z = 30x + -1y + -30x + 45y Combine like terms: -1y + 45y = 44y 44y + -10z = 30x + -1y + -30x + 45y Reorder the terms: 44y + -10z = 30x + -30x + -1y + 45y Combine like terms: 30x + -30x = 0 44y + -10z = 0 + -1y + 45y 44y + -10z = -1y + 45y Combine like terms: -1y + 45y = 44y 44y + -10z = 44y Add '-44y' to each side of the equation. 44y + -44y + -10z = 44y + -44y Combine like terms: 44y + -44y = 0 0 + -10z = 44y + -44y -10z = 44y + -44y Combine like terms: 44y + -44y = 0 -10z = 0 Solving -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-10'. z = 0.0 Simplifying z = 0.0
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