1.6+5.2(7.2n-5.8)=2.968-7.6n

Solution for 1.6+5.2(7.2n-5.8)=2.968-7.6n equation:

Simplifying
1.6 + 5.2(7.2n + -5.8) = 2.968 + -7.6n

Reorder the terms:
1.6 + 5.2(-5.8 + 7.2n) = 2.968 + -7.6n
1.6 + (-5.8 * 5.2 + 7.2n * 5.2) = 2.968 + -7.6n
1.6 + (-30.16 + 37.44n) = 2.968 + -7.6n

Combine like terms: 1.6 + -30.16 = -28.56
-28.56 + 37.44n = 2.968 + -7.6n

Solving
-28.56 + 37.44n = 2.968 + -7.6n

Solving for variable 'n'.

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

Add '7.6n' to each side of the equation.
-28.56 + 37.44n + 7.6n = 2.968 + -7.6n + 7.6n

Combine like terms: 37.44n + 7.6n = 45.04n
-28.56 + 45.04n = 2.968 + -7.6n + 7.6n

Combine like terms: -7.6n + 7.6n = 0.0
-28.56 + 45.04n = 2.968 + 0.0
-28.56 + 45.04n = 2.968

Add '28.56' to each side of the equation.
-28.56 + 28.56 + 45.04n = 2.968 + 28.56

Combine like terms: -28.56 + 28.56 = 0.00
0.00 + 45.04n = 2.968 + 28.56
45.04n = 2.968 + 28.56

Combine like terms: 2.968 + 28.56 = 31.528
45.04n = 31.528

Divide each side by '45.04'.
n = 0.7

Simplifying
n = 0.7