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Simplifying z + -1(8 + -32) = 9z + -2(5z + -1) Combine like terms: 8 + -32 = -24 z + -1(-24) = 9z + -2(5z + -1) Multiply -1 * -24 z + 24 = 9z + -2(5z + -1) Reorder the terms: 24 + z = 9z + -2(5z + -1) Reorder the terms: 24 + z = 9z + -2(-1 + 5z) 24 + z = 9z + (-1 * -2 + 5z * -2) 24 + z = 9z + (2 + -10z) Reorder the terms: 24 + z = 2 + 9z + -10z Combine like terms: 9z + -10z = -1z 24 + z = 2 + -1z Solving 24 + z = 2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 24 + z + z = 2 + -1z + z Combine like terms: z + z = 2z 24 + 2z = 2 + -1z + z Combine like terms: -1z + z = 0 24 + 2z = 2 + 0 24 + 2z = 2 Add '-24' to each side of the equation. 24 + -24 + 2z = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = 2 + -24 2z = 2 + -24 Combine like terms: 2 + -24 = -22 2z = -22 Divide each side by '2'. z = -11 Simplifying z = -11
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