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Simplifying 8 + 13z + -6 = 7z + 10 + -2z Reorder the terms: 8 + -6 + 13z = 7z + 10 + -2z Combine like terms: 8 + -6 = 2 2 + 13z = 7z + 10 + -2z Reorder the terms: 2 + 13z = 10 + 7z + -2z Combine like terms: 7z + -2z = 5z 2 + 13z = 10 + 5z Solving 2 + 13z = 10 + 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. 2 + 13z + -5z = 10 + 5z + -5z Combine like terms: 13z + -5z = 8z 2 + 8z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 8z = 10 + 0 2 + 8z = 10 Add '-2' to each side of the equation. 2 + -2 + 8z = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8z = 10 + -2 8z = 10 + -2 Combine like terms: 10 + -2 = 8 8z = 8 Divide each side by '8'. z = 1 Simplifying z = 1
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