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Simplifying 9(1 + -1z) + 5z = 3z + -5 (1 * 9 + -1z * 9) + 5z = 3z + -5 (9 + -9z) + 5z = 3z + -5 Combine like terms: -9z + 5z = -4z 9 + -4z = 3z + -5 Reorder the terms: 9 + -4z = -5 + 3z Solving 9 + -4z = -5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9 + -4z + -3z = -5 + 3z + -3z Combine like terms: -4z + -3z = -7z 9 + -7z = -5 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + -7z = -5 + 0 9 + -7z = -5 Add '-9' to each side of the equation. 9 + -9 + -7z = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -7z = -5 + -9 -7z = -5 + -9 Combine like terms: -5 + -9 = -14 -7z = -14 Divide each side by '-7'. z = 2 Simplifying z = 2
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