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Simplifying 3z + 1 = 23 + -3z Reorder the terms: 1 + 3z = 23 + -3z Solving 1 + 3z = 23 + -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 + 3z + 3z = 23 + -3z + 3z Combine like terms: 3z + 3z = 6z 1 + 6z = 23 + -3z + 3z Combine like terms: -3z + 3z = 0 1 + 6z = 23 + 0 1 + 6z = 23 Add '-1' to each side of the equation. 1 + -1 + 6z = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 23 + -1 6z = 23 + -1 Combine like terms: 23 + -1 = 22 6z = 22 Divide each side by '6'. z = 3.666666667 Simplifying z = 3.666666667
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