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Simplifying 5z + 3 = 10 + -2z Reorder the terms: 3 + 5z = 10 + -2z Solving 3 + 5z = 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. 3 + 5z + 2z = 10 + -2z + 2z Combine like terms: 5z + 2z = 7z 3 + 7z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 3 + 7z = 10 + 0 3 + 7z = 10 Add '-3' to each side of the equation. 3 + -3 + 7z = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 10 + -3 7z = 10 + -3 Combine like terms: 10 + -3 = 7 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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