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Simplifying 10z + -18 = 9z + 12 Reorder the terms: -18 + 10z = 9z + 12 Reorder the terms: -18 + 10z = 12 + 9z Solving -18 + 10z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -18 + 10z + -9z = 12 + 9z + -9z Combine like terms: 10z + -9z = 1z -18 + 1z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -18 + 1z = 12 + 0 -18 + 1z = 12 Add '18' to each side of the equation. -18 + 18 + 1z = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 12 + 18 1z = 12 + 18 Combine like terms: 12 + 18 = 30 1z = 30 Divide each side by '1'. z = 30 Simplifying z = 30
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