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Simplifying 4p + 3np + -3n + 2p = 0 Reorder the terms: -3n + 3np + 4p + 2p = 0 Combine like terms: 4p + 2p = 6p -3n + 3np + 6p = 0 Solving -3n + 3np + 6p = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6p' to each side of the equation. -3n + 3np + 6p + -6p = 0 + -6p Combine like terms: 6p + -6p = 0 -3n + 3np + 0 = 0 + -6p -3n + 3np = 0 + -6p Remove the zero: -3n + 3np = -6p Combine like terms: -6p + 6p = 0 -3n + 3np + 6p = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1n + np + 2p) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1n + np + 2p)' equal to zero and attempt to solve: Simplifying -1n + np + 2p = 0 Solving -1n + np + 2p = 0 Move all terms containing n to the left, all other terms to the right. Add '-2p' to each side of the equation. -1n + np + 2p + -2p = 0 + -2p Combine like terms: 2p + -2p = 0 -1n + np + 0 = 0 + -2p -1n + np = 0 + -2p Remove the zero: -1n + np = -2p 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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