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Simplifying -6np + -5nq + -2n + -2 = 5p + 4 Reorder the terms: -2 + -2n + -6np + -5nq = 5p + 4 Reorder the terms: -2 + -2n + -6np + -5nq = 4 + 5p Solving -2 + -2n + -6np + -5nq = 4 + 5p Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2n + -6np + 2 + -5nq = 4 + 2 + 5p Reorder the terms: -2 + 2 + -2n + -6np + -5nq = 4 + 2 + 5p Combine like terms: -2 + 2 = 0 0 + -2n + -6np + -5nq = 4 + 2 + 5p -2n + -6np + -5nq = 4 + 2 + 5p Combine like terms: 4 + 2 = 6 -2n + -6np + -5nq = 6 + 5p Reorder the terms: -6 + -2n + -6np + -5nq + -5p = 6 + 5p + -6 + -5p Reorder the terms: -6 + -2n + -6np + -5nq + -5p = 6 + -6 + 5p + -5p Combine like terms: 6 + -6 = 0 -6 + -2n + -6np + -5nq + -5p = 0 + 5p + -5p -6 + -2n + -6np + -5nq + -5p = 5p + -5p Combine like terms: 5p + -5p = 0 -6 + -2n + -6np + -5nq + -5p = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 2n + 6np + 5nq + 5p) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 2n + 6np + 5nq + 5p)' equal to zero and attempt to solve: Simplifying 6 + 2n + 6np + 5nq + 5p = 0 Solving 6 + 2n + 6np + 5nq + 5p = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2n + 6np + 5nq + -6 + 5p = 0 + -6 Reorder the terms: 6 + -6 + 2n + 6np + 5nq + 5p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2n + 6np + 5nq + 5p = 0 + -6 2n + 6np + 5nq + 5p = 0 + -6 Combine like terms: 0 + -6 = -6 2n + 6np + 5nq + 5p = -6 Add '-5p' to each side of the equation. 2n + 6np + 5nq + 5p + -5p = -6 + -5p Combine like terms: 5p + -5p = 0 2n + 6np + 5nq + 0 = -6 + -5p 2n + 6np + 5nq = -6 + -5p 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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