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Simplifying 4xn + 2 = 10 + 2n Reorder the terms: 2 + 4nx = 10 + 2n Solving 2 + 4nx = 10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + -2n + 4nx = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + -2n + 4nx = 10 + 0 2 + -2n + 4nx = 10 Add '-2' to each side of the equation. 2 + -2n + -2 + 4nx = 10 + -2 Reorder the terms: 2 + -2 + -2n + 4nx = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2n + 4nx = 10 + -2 -2n + 4nx = 10 + -2 Combine like terms: 10 + -2 = 8 -2n + 4nx = 8 Reorder the terms: -8 + -2n + 4nx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -2n + 4nx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -1n + 2nx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1n + 2nx)' equal to zero and attempt to solve: Simplifying -4 + -1n + 2nx = 0 Solving -4 + -1n + 2nx = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1n + 4 + 2nx = 0 + 4 Reorder the terms: -4 + 4 + -1n + 2nx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n + 2nx = 0 + 4 -1n + 2nx = 0 + 4 Combine like terms: 0 + 4 = 4 -1n + 2nx = 4 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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