6(n-7)+4n=-2(n-3)

Solution for 6(n-7)+4n=-2(n-3) equation:

Simplifying
6(n + -7) + 4n = -2(n + -3)

Reorder the terms:
6(-7 + n) + 4n = -2(n + -3)
(-7 * 6 + n * 6) + 4n = -2(n + -3)
(-42 + 6n) + 4n = -2(n + -3)

Combine like terms: 6n + 4n = 10n
-42 + 10n = -2(n + -3)

Reorder the terms:
-42 + 10n = -2(-3 + n)
-42 + 10n = (-3 * -2 + n * -2)
-42 + 10n = (6 + -2n)

Solving
-42 + 10n = 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.
-42 + 10n + 2n = 6 + -2n + 2n

Combine like terms: 10n + 2n = 12n
-42 + 12n = 6 + -2n + 2n

Combine like terms: -2n + 2n = 0
-42 + 12n = 6 + 0
-42 + 12n = 6

Add '42' to each side of the equation.
-42 + 42 + 12n = 6 + 42

Combine like terms: -42 + 42 = 0
0 + 12n = 6 + 42
12n = 6 + 42

Combine like terms: 6 + 42 = 48
12n = 48

Divide each side by '12'.
n = 4

Simplifying
n = 4