3(5-n)-4(2n-7)=-11-(10+3n)

Solution for 3(5-n)-4(2n-7)=-11-(10+3n) equation:

Simplifying
3(5 + -1n) + -4(2n + -7) = -11 + -1(10 + 3n)
(5 * 3 + -1n * 3) + -4(2n + -7) = -11 + -1(10 + 3n)
(15 + -3n) + -4(2n + -7) = -11 + -1(10 + 3n)

Reorder the terms:
15 + -3n + -4(-7 + 2n) = -11 + -1(10 + 3n)
15 + -3n + (-7 * -4 + 2n * -4) = -11 + -1(10 + 3n)
15 + -3n + (28 + -8n) = -11 + -1(10 + 3n)

Reorder the terms:
15 + 28 + -3n + -8n = -11 + -1(10 + 3n)

Combine like terms: 15 + 28 = 43
43 + -3n + -8n = -11 + -1(10 + 3n)

Combine like terms: -3n + -8n = -11n
43 + -11n = -11 + -1(10 + 3n)
43 + -11n = -11 + (10 * -1 + 3n * -1)
43 + -11n = -11 + (-10 + -3n)

Combine like terms: -11 + -10 = -21
43 + -11n = -21 + -3n

Solving
43 + -11n = -21 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
43 + -11n + 3n = -21 + -3n + 3n

Combine like terms: -11n + 3n = -8n
43 + -8n = -21 + -3n + 3n

Combine like terms: -3n + 3n = 0
43 + -8n = -21 + 0
43 + -8n = -21

Add '-43' to each side of the equation.
43 + -43 + -8n = -21 + -43

Combine like terms: 43 + -43 = 0
0 + -8n = -21 + -43
-8n = -21 + -43

Combine like terms: -21 + -43 = -64
-8n = -64

Divide each side by '-8'.
n = 8

Simplifying
n = 8