45+(4n)=61+(2n)

Solution for 45+(4n)=61+(2n) equation:

Simplifying
45 + (4n) = 61 + (2n)

Solving
45 + (4n) = 61 + (2n)

Solving for variable 'n'.

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

Add '(-2n)' to each side of the equation.
45 + (4n) + (-2n) = 61 + (2n) + (-2n)

Combine like terms: (4n) + (-2n) = 2n
45 + 2n = 61 + (2n) + (-2n)

Combine like terms: (2n) + (-2n) = 0
45 + 2n = 61 + 0
45 + 2n = 61

Add '-45' to each side of the equation.
45 + -45 + 2n = 61 + -45

Combine like terms: 45 + -45 = 0
0 + 2n = 61 + -45
2n = 61 + -45

Combine like terms: 61 + -45 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8