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Simplifying 9z + 7 = 10z + 6 Reorder the terms: 7 + 9z = 10z + 6 Reorder the terms: 7 + 9z = 6 + 10z Solving 7 + 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. 7 + 9z + -10z = 6 + 10z + -10z Combine like terms: 9z + -10z = -1z 7 + -1z = 6 + 10z + -10z Combine like terms: 10z + -10z = 0 7 + -1z = 6 + 0 7 + -1z = 6 Add '-7' to each side of the equation. 7 + -7 + -1z = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 6 + -7 -1z = 6 + -7 Combine like terms: 6 + -7 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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