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Simplifying Ln4 = 3x + 5 Reorder the terms: n4L = 5 + 3x Solving n4L = 5 + 3x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by 'L'. n4 = 5L-1 + 3xL-1 Simplifying n4 = 5L-1 + 3xL-1 Reorder the terms: -5L-1 + n4 + -3xL-1 = 5L-1 + 3xL-1 + -5L-1 + -3xL-1 Reorder the terms: -5L-1 + n4 + -3xL-1 = 5L-1 + -5L-1 + 3xL-1 + -3xL-1 Combine like terms: 5L-1 + -5L-1 = 0 -5L-1 + n4 + -3xL-1 = 0 + 3xL-1 + -3xL-1 -5L-1 + n4 + -3xL-1 = 3xL-1 + -3xL-1 Combine like terms: 3xL-1 + -3xL-1 = 0 -5L-1 + n4 + -3xL-1 = 0 Factor out the Greatest Common Factor (GCF), 'L-1'. L-1(-5 + n4L + -3x) = 0Subproblem 1
Set the factor 'L-1' equal to zero and attempt to solve: Simplifying L-1 = 0 Solving L-1 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1L-1' to each side of the equation. L-1 + -1L-1 = 0 + -1L-1 Remove the zero: 0 = -1L-1 Simplifying 0 = -1L-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + n4L + -3x)' equal to zero and attempt to solve: Simplifying -5 + n4L + -3x = 0 Solving -5 + n4L + -3x = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + n4L + 5 + -3x = 0 + 5 Reorder the terms: -5 + 5 + n4L + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + n4L + -3x = 0 + 5 n4L + -3x = 0 + 5 Combine like terms: 0 + 5 = 5 n4L + -3x = 5 Add '3x' to each side of the equation. n4L + -3x + 3x = 5 + 3x Combine like terms: -3x + 3x = 0 n4L + 0 = 5 + 3x n4L = 5 + 3x Divide each side by 'L'. n4 = 5L-1 + 3xL-1 Simplifying n4 = 5L-1 + 3xL-1 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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