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Simplifying 8z + 4 + -2z = 5 + 5z + 1 Reorder the terms: 4 + 8z + -2z = 5 + 5z + 1 Combine like terms: 8z + -2z = 6z 4 + 6z = 5 + 5z + 1 Reorder the terms: 4 + 6z = 5 + 1 + 5z Combine like terms: 5 + 1 = 6 4 + 6z = 6 + 5z Solving 4 + 6z = 6 + 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. 4 + 6z + -5z = 6 + 5z + -5z Combine like terms: 6z + -5z = 1z 4 + 1z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 1z = 6 + 0 4 + 1z = 6 Add '-4' to each side of the equation. 4 + -4 + 1z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 6 + -4 1z = 6 + -4 Combine like terms: 6 + -4 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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