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Simplifying -6z + 10 = -10z + 8 Reorder the terms: 10 + -6z = -10z + 8 Reorder the terms: 10 + -6z = 8 + -10z Solving 10 + -6z = 8 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 10 + -6z + 10z = 8 + -10z + 10z Combine like terms: -6z + 10z = 4z 10 + 4z = 8 + -10z + 10z Combine like terms: -10z + 10z = 0 10 + 4z = 8 + 0 10 + 4z = 8 Add '-10' to each side of the equation. 10 + -10 + 4z = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 4z = 8 + -10 4z = 8 + -10 Combine like terms: 8 + -10 = -2 4z = -2 Divide each side by '4'. z = -0.5 Simplifying z = -0.5
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