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