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Simplifying 9(z + 1) = 6 + 10z Reorder the terms: 9(1 + z) = 6 + 10z (1 * 9 + z * 9) = 6 + 10z (9 + 9z) = 6 + 10z Solving 9 + 9z = 6 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 9 + 9z + -10z = 6 + 10z + -10z Combine like terms: 9z + -10z = -1z 9 + -1z = 6 + 10z + -10z Combine like terms: 10z + -10z = 0 9 + -1z = 6 + 0 9 + -1z = 6 Add '-9' to each side of the equation. 9 + -9 + -1z = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 6 + -9 -1z = 6 + -9 Combine like terms: 6 + -9 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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