89.148=5.7(4.3+2.7n)

Solution for 89.148=5.7(4.3+2.7n) equation:

Simplifying
89.148 = 5.7(4.3 + 2.7n)
89.148 = (4.3 * 5.7 + 2.7n * 5.7)
89.148 = (24.51 + 15.39n)

Solving
89.148 = 24.51 + 15.39n

Solving for variable 'n'.

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

Add '-15.39n' to each side of the equation.
89.148 + -15.39n = 24.51 + 15.39n + -15.39n

Combine like terms: 15.39n + -15.39n = 0.00
89.148 + -15.39n = 24.51 + 0.00
89.148 + -15.39n = 24.51

Add '-89.148' to each side of the equation.
89.148 + -89.148 + -15.39n = 24.51 + -89.148

Combine like terms: 89.148 + -89.148 = 0.000
0.000 + -15.39n = 24.51 + -89.148
-15.39n = 24.51 + -89.148

Combine like terms: 24.51 + -89.148 = -64.638
-15.39n = -64.638

Divide each side by '-15.39'.
n = 4.2

Simplifying
n = 4.2