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