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