7(n+1)=-2(3+n)

Solution for 7(n+1)=-2(3+n) equation:

Simplifying
7(n + 1) = -2(3 + n)

Reorder the terms:
7(1 + n) = -2(3 + n)
(1 * 7 + n * 7) = -2(3 + n)
(7 + 7n) = -2(3 + n)
7 + 7n = (3 * -2 + n * -2)
7 + 7n = (-6 + -2n)

Solving
7 + 7n = -6 + -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.
7 + 7n + 2n = -6 + -2n + 2n

Combine like terms: 7n + 2n = 9n
7 + 9n = -6 + -2n + 2n

Combine like terms: -2n + 2n = 0
7 + 9n = -6 + 0
7 + 9n = -6

Add '-7' to each side of the equation.
7 + -7 + 9n = -6 + -7

Combine like terms: 7 + -7 = 0
0 + 9n = -6 + -7
9n = -6 + -7

Combine like terms: -6 + -7 = -13
9n = -13

Divide each side by '9'.
n = -1.444444444

Simplifying
n = -1.444444444