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Simplifying 3z + 4 = 5 + -3z Reorder the terms: 4 + 3z = 5 + -3z Solving 4 + 3z = 5 + -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. 4 + 3z + 3z = 5 + -3z + 3z Combine like terms: 3z + 3z = 6z 4 + 6z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 4 + 6z = 5 + 0 4 + 6z = 5 Add '-4' to each side of the equation. 4 + -4 + 6z = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 6z = 5 + -4 6z = 5 + -4 Combine like terms: 5 + -4 = 1 6z = 1 Divide each side by '6'. z = 0.1666666667 Simplifying z = 0.1666666667
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