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Simplifying 5 + -10z = 9z + 12 Reorder the terms: 5 + -10z = 12 + 9z Solving 5 + -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. 5 + -10z + -9z = 12 + 9z + -9z Combine like terms: -10z + -9z = -19z 5 + -19z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 5 + -19z = 12 + 0 5 + -19z = 12 Add '-5' to each side of the equation. 5 + -5 + -19z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -19z = 12 + -5 -19z = 12 + -5 Combine like terms: 12 + -5 = 7 -19z = 7 Divide each side by '-19'. z = -0.3684210526 Simplifying z = -0.3684210526
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