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Simplifying -10z + 8 = 3 + -9z Reorder the terms: 8 + -10z = 3 + -9z Solving 8 + -10z = 3 + -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. 8 + -10z + 9z = 3 + -9z + 9z Combine like terms: -10z + 9z = -1z 8 + -1z = 3 + -9z + 9z Combine like terms: -9z + 9z = 0 8 + -1z = 3 + 0 8 + -1z = 3 Add '-8' to each side of the equation. 8 + -8 + -1z = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 3 + -8 -1z = 3 + -8 Combine like terms: 3 + -8 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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