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Simplifying n + (2xn) + (5 + n) = 21 Remove parenthesis around (5 + n) n + (2nx) + 5 + n = 21 Reorder the terms: 5 + n + n + (2nx) = 21 Combine like terms: n + n = 2n 5 + 2n + (2nx) = 21 Solving 5 + 2n + (2nx) = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2n + -5 + (2nx) = 21 + -5 Reorder the terms: 5 + -5 + 2n + (2nx) = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2n + (2nx) = 21 + -5 2n + (2nx) = 21 + -5 Combine like terms: 21 + -5 = 16 2n + (2nx) = 16 Reorder the terms: -16 + 2n + (2nx) = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 2n + (2nx) = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + n + nx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + n + nx)' equal to zero and attempt to solve: Simplifying -8 + n + nx = 0 Solving -8 + n + nx = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + n + 8 + nx = 0 + 8 Reorder the terms: -8 + 8 + n + nx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + n + nx = 0 + 8 n + nx = 0 + 8 Combine like terms: 0 + 8 = 8 n + nx = 8 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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