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Simplifying 10z + 9 = 12z + -6 Reorder the terms: 9 + 10z = 12z + -6 Reorder the terms: 9 + 10z = -6 + 12z Solving 9 + 10z = -6 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 9 + 10z + -12z = -6 + 12z + -12z Combine like terms: 10z + -12z = -2z 9 + -2z = -6 + 12z + -12z Combine like terms: 12z + -12z = 0 9 + -2z = -6 + 0 9 + -2z = -6 Add '-9' to each side of the equation. 9 + -9 + -2z = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = -6 + -9 -2z = -6 + -9 Combine like terms: -6 + -9 = -15 -2z = -15 Divide each side by '-2'. z = 7.5 Simplifying z = 7.5
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