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Simplifying 10z + 1 = 4z + 13 Reorder the terms: 1 + 10z = 4z + 13 Reorder the terms: 1 + 10z = 13 + 4z Solving 1 + 10z = 13 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 10z + -4z = 13 + 4z + -4z Combine like terms: 10z + -4z = 6z 1 + 6z = 13 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 6z = 13 + 0 1 + 6z = 13 Add '-1' to each side of the equation. 1 + -1 + 6z = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 13 + -1 6z = 13 + -1 Combine like terms: 13 + -1 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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