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Simplifying 6z + 3 + -4z = 33 + -4z Reorder the terms: 3 + 6z + -4z = 33 + -4z Combine like terms: 6z + -4z = 2z 3 + 2z = 33 + -4z Solving 3 + 2z = 33 + -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. 3 + 2z + 4z = 33 + -4z + 4z Combine like terms: 2z + 4z = 6z 3 + 6z = 33 + -4z + 4z Combine like terms: -4z + 4z = 0 3 + 6z = 33 + 0 3 + 6z = 33 Add '-3' to each side of the equation. 3 + -3 + 6z = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 33 + -3 6z = 33 + -3 Combine like terms: 33 + -3 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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