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 = 1
9n = 1

Divide each side by '9'.
n = 0.1111111111

Simplifying
n = 0.1111111111