n(-3x-1)-ln(7)=2

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Solution for n(-3x-1)-ln(7)=2 equation:


Simplifying
n(-3x + -1) + -1ln(7) = 2

Reorder the terms:
n(-1 + -3x) + -1ln(7) = 2
(-1 * n + -3x * n) + -1ln(7) = 2
(-1n + -3nx) + -1ln(7) = 2

Reorder the terms for easier multiplication:
-1n + -3nx + -1 * 7ln = 2

Multiply -1 * 7
-1n + -3nx + -7ln = 2

Reorder the terms:
-7ln + -1n + -3nx = 2

Solving
-7ln + -1n + -3nx = 2

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add 'n' to each side of the equation.
-7ln + -1n + n + -3nx = 2 + n

Combine like terms: -1n + n = 0
-7ln + 0 + -3nx = 2 + n
-7ln + -3nx = 2 + n

Add '3nx' to each side of the equation.
-7ln + -3nx + 3nx = 2 + n + 3nx

Combine like terms: -3nx + 3nx = 0
-7ln + 0 = 2 + n + 3nx
-7ln = 2 + n + 3nx

Divide each side by '-7n'.
l = -0.2857142857n-1 + -0.1428571429 + -0.4285714286x

Simplifying
l = -0.2857142857n-1 + -0.1428571429 + -0.4285714286x

Reorder the terms:
l = -0.1428571429 + -0.2857142857n-1 + -0.4285714286x

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