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Simplifying 9mn + -16mnp + 25mn + -32mnp + 40mnp + -51mn = 0 Reorder the terms: 9mn + 25mn + -51mn + -16mnp + -32mnp + 40mnp = 0 Combine like terms: 9mn + 25mn = 34mn 34mn + -51mn + -16mnp + -32mnp + 40mnp = 0 Combine like terms: 34mn + -51mn = -17mn -17mn + -16mnp + -32mnp + 40mnp = 0 Combine like terms: -16mnp + -32mnp = -48mnp -17mn + -48mnp + 40mnp = 0 Combine like terms: -48mnp + 40mnp = -8mnp -17mn + -8mnp = 0 Solving -17mn + -8mnp = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-1mn'. -1mn(17 + 8p) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(17 + 8p)' equal to zero and attempt to solve: Simplifying 17 + 8p = 0 Solving 17 + 8p = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8p = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8p = 0 + -17 8p = 0 + -17 Combine like terms: 0 + -17 = -17 8p = -17 Add '-8p' to each side of the equation. 8p + -8p = -17 + -8p Combine like terms: 8p + -8p = 0 0 = -17 + -8p Simplifying 0 = -17 + -8p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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