3+4(1+5n)=-6+7n

Solution for 3+4(1+5n)=-6+7n equation:

Simplifying
3 + 4(1 + 5n) = -6 + 7n
3 + (1 * 4 + 5n * 4) = -6 + 7n
3 + (4 + 20n) = -6 + 7n

Combine like terms: 3 + 4 = 7
7 + 20n = -6 + 7n

Solving
7 + 20n = -6 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
7 + 20n + -7n = -6 + 7n + -7n

Combine like terms: 20n + -7n = 13n
7 + 13n = -6 + 7n + -7n

Combine like terms: 7n + -7n = 0
7 + 13n = -6 + 0
7 + 13n = -6

Add '-7' to each side of the equation.
7 + -7 + 13n = -6 + -7

Combine like terms: 7 + -7 = 0
0 + 13n = -6 + -7
13n = -6 + -7

Combine like terms: -6 + -7 = -13
13n = -13

Divide each side by '13'.
n = -1

Simplifying
n = -1