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Simplifying 8z + 2 + -2z = 8 + 5z + 5 Reorder the terms: 2 + 8z + -2z = 8 + 5z + 5 Combine like terms: 8z + -2z = 6z 2 + 6z = 8 + 5z + 5 Reorder the terms: 2 + 6z = 8 + 5 + 5z Combine like terms: 8 + 5 = 13 2 + 6z = 13 + 5z Solving 2 + 6z = 13 + 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 + 6z + -5z = 13 + 5z + -5z Combine like terms: 6z + -5z = 1z 2 + 1z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 1z = 13 + 0 2 + 1z = 13 Add '-2' to each side of the equation. 2 + -2 + 1z = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 13 + -2 1z = 13 + -2 Combine like terms: 13 + -2 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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