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Simplifying 33n + 32np + 37n + -45n + 18np = 0 Reorder the terms: 33n + 37n + -45n + 32np + 18np = 0 Combine like terms: 33n + 37n = 70n 70n + -45n + 32np + 18np = 0 Combine like terms: 70n + -45n = 25n 25n + 32np + 18np = 0 Combine like terms: 32np + 18np = 50np 25n + 50np = 0 Solving 25n + 50np = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '25n'. 25n(1 + 2p) = 0 Ignore the factor 25.## Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0## Subproblem 2

Set the factor '(1 + 2p)' equal to zero and attempt to solve: Simplifying 1 + 2p = 0 Solving 1 + 2p = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 0 + -1 2p = 0 + -1 Combine like terms: 0 + -1 = -1 2p = -1 Add '-2p' to each side of the equation. 2p + -2p = -1 + -2p Combine like terms: 2p + -2p = 0 0 = -1 + -2p Simplifying 0 = -1 + -2p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

n = {0}

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