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Simplifying 6z + 1 = 13 + -3z Reorder the terms: 1 + 6z = 13 + -3z Solving 1 + 6z = 13 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 1 + 6z + 3z = 13 + -3z + 3z Combine like terms: 6z + 3z = 9z 1 + 9z = 13 + -3z + 3z Combine like terms: -3z + 3z = 0 1 + 9z = 13 + 0 1 + 9z = 13 Add '-1' to each side of the equation. 1 + -1 + 9z = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 9z = 13 + -1 9z = 13 + -1 Combine like terms: 13 + -1 = 12 9z = 12 Divide each side by '9'. z = 1.333333333 Simplifying z = 1.333333333
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