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Simplifying 8z + 5 + -2z = 10 + 5z + -3 Reorder the terms: 5 + 8z + -2z = 10 + 5z + -3 Combine like terms: 8z + -2z = 6z 5 + 6z = 10 + 5z + -3 Reorder the terms: 5 + 6z = 10 + -3 + 5z Combine like terms: 10 + -3 = 7 5 + 6z = 7 + 5z Solving 5 + 6z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 5 + 6z + -5z = 7 + 5z + -5z Combine like terms: 6z + -5z = 1z 5 + 1z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + 1z = 7 + 0 5 + 1z = 7 Add '-5' to each side of the equation. 5 + -5 + 1z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 7 + -5 1z = 7 + -5 Combine like terms: 7 + -5 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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