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Simplifying 4z + 5 + -2z = 33 + -2z Reorder the terms: 5 + 4z + -2z = 33 + -2z Combine like terms: 4z + -2z = 2z 5 + 2z = 33 + -2z Solving 5 + 2z = 33 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 5 + 2z + 2z = 33 + -2z + 2z Combine like terms: 2z + 2z = 4z 5 + 4z = 33 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + 4z = 33 + 0 5 + 4z = 33 Add '-5' to each side of the equation. 5 + -5 + 4z = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = 33 + -5 4z = 33 + -5 Combine like terms: 33 + -5 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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