15=4.3n-2.1(n-4)

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Solution for 15=4.3n-2.1(n-4) equation:

Simplifying
15 = 4.3n + -2.1(n + -4)

Reorder the terms:
15 = 4.3n + -2.1(-4 + n)
15 = 4.3n + (-4 * -2.1 + n * -2.1)
15 = 4.3n + (8.4 + -2.1n)

Reorder the terms:
15 = 8.4 + 4.3n + -2.1n

Combine like terms: 4.3n + -2.1n = 2.2n
15 = 8.4 + 2.2n

Solving
15 = 8.4 + 2.2n

Solving for variable 'n'.

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

Add '-2.2n' to each side of the equation.
15 + -2.2n = 8.4 + 2.2n + -2.2n

Combine like terms: 2.2n + -2.2n = 0.0
15 + -2.2n = 8.4 + 0.0
15 + -2.2n = 8.4

Add '-15' to each side of the equation.
15 + -15 + -2.2n = 8.4 + -15

Combine like terms: 15 + -15 = 0
0 + -2.2n = 8.4 + -15
-2.2n = 8.4 + -15

Combine like terms: 8.4 + -15 = -6.6
-2.2n = -6.6

Divide each side by '-2.2'.
n = 3

Simplifying
n = 3`