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

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

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

Reorder the terms:
3(-7 + n) = -2(n + 1) + 2
(-7 * 3 + n * 3) = -2(n + 1) + 2
(-21 + 3n) = -2(n + 1) + 2

Reorder the terms:
-21 + 3n = -2(1 + n) + 2
-21 + 3n = (1 * -2 + n * -2) + 2
-21 + 3n = (-2 + -2n) + 2

Reorder the terms:
-21 + 3n = -2 + 2 + -2n

Combine like terms: -2 + 2 = 0
-21 + 3n = 0 + -2n
-21 + 3n = -2n

Solving
-21 + 3n = -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.
-21 + 3n + 2n = -2n + 2n

Combine like terms: 3n + 2n = 5n
-21 + 5n = -2n + 2n

Combine like terms: -2n + 2n = 0
-21 + 5n = 0

Add '21' to each side of the equation.
-21 + 21 + 5n = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 5n = 0 + 21
5n = 0 + 21

Combine like terms: 0 + 21 = 21
5n = 21

Divide each side by '5'.
n = 4.2

Simplifying
n = 4.2