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Simplifying 9(z + 1) = 10z + -6 Reorder the terms: 9(1 + z) = 10z + -6 (1 * 9 + z * 9) = 10z + -6 (9 + 9z) = 10z + -6 Reorder the terms: 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 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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