48=-2(n-3)+6(n+7)

Solution for 48=-2(n-3)+6(n+7) equation:

Simplifying
48 = -2(n + -3) + 6(n + 7)

Reorder the terms:
48 = -2(-3 + n) + 6(n + 7)
48 = (-3 * -2 + n * -2) + 6(n + 7)
48 = (6 + -2n) + 6(n + 7)

Reorder the terms:
48 = 6 + -2n + 6(7 + n)
48 = 6 + -2n + (7 * 6 + n * 6)
48 = 6 + -2n + (42 + 6n)

Reorder the terms:
48 = 6 + 42 + -2n + 6n

Combine like terms: 6 + 42 = 48
48 = 48 + -2n + 6n

Combine like terms: -2n + 6n = 4n
48 = 48 + 4n

Add '-48' to each side of the equation.
48 + -48 = 48 + -48 + 4n

Combine like terms: 48 + -48 = 0
0 = 48 + -48 + 4n

Combine like terms: 48 + -48 = 0
0 = 0 + 4n
0 = 4n

Solving
0 = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
0 + -4n = 4n + -4n
Remove the zero:
-4n = 4n + -4n

Combine like terms: 4n + -4n = 0
-4n = 0

Divide each side by '-4'.
n = 0

Simplifying
n = 0