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Simplifying z + -1(8 + -3z) = 9z + -2(5z + -1) z + (8 * -1 + -3z * -1) = 9z + -2(5z + -1) z + (-8 + 3z) = 9z + -2(5z + -1) Reorder the terms: -8 + z + 3z = 9z + -2(5z + -1) Combine like terms: z + 3z = 4z -8 + 4z = 9z + -2(5z + -1) Reorder the terms: -8 + 4z = 9z + -2(-1 + 5z) -8 + 4z = 9z + (-1 * -2 + 5z * -2) -8 + 4z = 9z + (2 + -10z) Reorder the terms: -8 + 4z = 2 + 9z + -10z Combine like terms: 9z + -10z = -1z -8 + 4z = 2 + -1z Solving -8 + 4z = 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. -8 + 4z + z = 2 + -1z + z Combine like terms: 4z + z = 5z -8 + 5z = 2 + -1z + z Combine like terms: -1z + z = 0 -8 + 5z = 2 + 0 -8 + 5z = 2 Add '8' to each side of the equation. -8 + 8 + 5z = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5z = 2 + 8 5z = 2 + 8 Combine like terms: 2 + 8 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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