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Simplifying 14n + 6p + -8n = 18forn Reorder the terms: 14n + -8n + 6p = 18forn Combine like terms: 14n + -8n = 6n 6n + 6p = 18forn Solving 6n + 6p = 18fnor Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18fnor' to each side of the equation. 6n + -18fnor + 6p = 18fnor + -18fnor Reorder the terms: -18fnor + 6n + 6p = 18fnor + -18fnor Combine like terms: 18fnor + -18fnor = 0 -18fnor + 6n + 6p = 0 Add '-6p' to each side of the equation. -18fnor + 6n + 6p + -6p = 0 + -6p Combine like terms: 6p + -6p = 0 -18fnor + 6n + 0 = 0 + -6p -18fnor + 6n = 0 + -6p Remove the zero: -18fnor + 6n = -6p Combine like terms: -6p + 6p = 0 -18fnor + 6n + 6p = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3fnor + n + p) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3fnor + n + p)' equal to zero and attempt to solve: Simplifying -3fnor + n + p = 0 Solving -3fnor + n + p = 0 Move all terms containing n to the left, all other terms to the right. Add '-1p' to each side of the equation. -3fnor + n + p + -1p = 0 + -1p Combine like terms: p + -1p = 0 -3fnor + n + 0 = 0 + -1p -3fnor + n = 0 + -1p Remove the zero: -3fnor + n = -1p 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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