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Simplifying 9z + -41 = 3z + 1 Reorder the terms: -41 + 9z = 3z + 1 Reorder the terms: -41 + 9z = 1 + 3z Solving -41 + 9z = 1 + 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. -41 + 9z + -3z = 1 + 3z + -3z Combine like terms: 9z + -3z = 6z -41 + 6z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -41 + 6z = 1 + 0 -41 + 6z = 1 Add '41' to each side of the equation. -41 + 41 + 6z = 1 + 41 Combine like terms: -41 + 41 = 0 0 + 6z = 1 + 41 6z = 1 + 41 Combine like terms: 1 + 41 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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