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Simplifying 3z + -1 = 33 + -3z Reorder the terms: -1 + 3z = 33 + -3z Solving -1 + 3z = 33 + -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 = 33 + -3z + 3z Combine like terms: 3z + 3z = 6z -1 + 6z = 33 + -3z + 3z Combine like terms: -3z + 3z = 0 -1 + 6z = 33 + 0 -1 + 6z = 33 Add '1' to each side of the equation. -1 + 1 + 6z = 33 + 1 Combine like terms: -1 + 1 = 0 0 + 6z = 33 + 1 6z = 33 + 1 Combine like terms: 33 + 1 = 34 6z = 34 Divide each side by '6'. z = 5.666666667 Simplifying z = 5.666666667
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