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Simplifying 10 + 4z = 10z + -8 Reorder the terms: 10 + 4z = -8 + 10z Solving 10 + 4z = -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 + 4z + -10z = -8 + 10z + -10z Combine like terms: 4z + -10z = -6z 10 + -6z = -8 + 10z + -10z Combine like terms: 10z + -10z = 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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