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Simplifying 4z + 2 = 45z + 1 Reorder the terms: 2 + 4z = 45z + 1 Reorder the terms: 2 + 4z = 1 + 45z Solving 2 + 4z = 1 + 45z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45z' to each side of the equation. 2 + 4z + -45z = 1 + 45z + -45z Combine like terms: 4z + -45z = -41z 2 + -41z = 1 + 45z + -45z Combine like terms: 45z + -45z = 0 2 + -41z = 1 + 0 2 + -41z = 1 Add '-2' to each side of the equation. 2 + -2 + -41z = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -41z = 1 + -2 -41z = 1 + -2 Combine like terms: 1 + -2 = -1 -41z = -1 Divide each side by '-41'. z = 0.0243902439 Simplifying z = 0.0243902439
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