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