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Simplifying 21n(x + -1) = 6 Reorder the terms: 21n(-1 + x) = 6 (-1 * 21n + x * 21n) = 6 (-21n + 21nx) = 6 Solving -21n + 21nx = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Reorder the terms: -6 + -21n + 21nx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -21n + 21nx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -7n + 7nx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -7n + 7nx)' equal to zero and attempt to solve: Simplifying -2 + -7n + 7nx = 0 Solving -2 + -7n + 7nx = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -7n + 2 + 7nx = 0 + 2 Reorder the terms: -2 + 2 + -7n + 7nx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7n + 7nx = 0 + 2 -7n + 7nx = 0 + 2 Combine like terms: 0 + 2 = 2 -7n + 7nx = 2 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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