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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 = -1z 5 + -1z = -12 + -9z + 9z Combine like terms: -9z + 9z = 0 5 + -1z = -12 + 0 5 + -1z = -12 Add '-5' to each side of the equation. 5 + -5 + -1z = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -12 + -5 -1z = -12 + -5 Combine like terms: -12 + -5 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17
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