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Simplifying 3z + 10 = 9z + -8 Reorder the terms: 10 + 3z = 9z + -8 Reorder the terms: 10 + 3z = -8 + 9z Solving 10 + 3z = -8 + 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. 10 + 3z + -9z = -8 + 9z + -9z Combine like terms: 3z + -9z = -6z 10 + -6z = -8 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + -6z = -8 + 0 10 + -6z = -8 Add '-10' to each side of the equation. 10 + -10 + -6z = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6z = -8 + -10 -6z = -8 + -10 Combine like terms: -8 + -10 = -18 -6z = -18 Divide each side by '-6'. z = 3 Simplifying z = 3
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