6(7+2n)+5n=5(6+4n)

Solution for 6(7+2n)+5n=5(6+4n) equation:

Simplifying
6(7 + 2n) + 5n = 5(6 + 4n)
(7 * 6 + 2n * 6) + 5n = 5(6 + 4n)
(42 + 12n) + 5n = 5(6 + 4n)

Combine like terms: 12n + 5n = 17n
42 + 17n = 5(6 + 4n)
42 + 17n = (6 * 5 + 4n * 5)
42 + 17n = (30 + 20n)

Solving
42 + 17n = 30 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
42 + 17n + -20n = 30 + 20n + -20n

Combine like terms: 17n + -20n = -3n
42 + -3n = 30 + 20n + -20n

Combine like terms: 20n + -20n = 0
42 + -3n = 30 + 0
42 + -3n = 30

Add '-42' to each side of the equation.
42 + -42 + -3n = 30 + -42

Combine like terms: 42 + -42 = 0
0 + -3n = 30 + -42
-3n = 30 + -42

Combine like terms: 30 + -42 = -12
-3n = -12

Divide each side by '-3'.
n = 4

Simplifying
n = 4