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

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

Simplifying
6n + 3 = 3(-7n + 1)

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

Reorder the terms:
3 + 6n = 3(1 + -7n)
3 + 6n = (1 * 3 + -7n * 3)
3 + 6n = (3 + -21n)

Add '-3' to each side of the equation.
3 + -3 + 6n = 3 + -3 + -21n

Combine like terms: 3 + -3 = 0
0 + 6n = 3 + -3 + -21n
6n = 3 + -3 + -21n

Combine like terms: 3 + -3 = 0
6n = 0 + -21n
6n = -21n

Solving
6n = -21n

Solving for variable 'n'.

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

Add '21n' to each side of the equation.
6n + 21n = -21n + 21n

Combine like terms: 6n + 21n = 27n
27n = -21n + 21n

Combine like terms: -21n + 21n = 0
27n = 0

Divide each side by '27'.
n = 0

Simplifying
n = 0