7n-34=-3-6(5n-1)

Solution for 7n-34=-3-6(5n-1) equation:

Simplifying
7n + -34 = -3 + -6(5n + -1)

Reorder the terms:
-34 + 7n = -3 + -6(5n + -1)

Reorder the terms:
-34 + 7n = -3 + -6(-1 + 5n)
-34 + 7n = -3 + (-1 * -6 + 5n * -6)
-34 + 7n = -3 + (6 + -30n)

Combine like terms: -3 + 6 = 3
-34 + 7n = 3 + -30n

Solving
-34 + 7n = 3 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
-34 + 7n + 30n = 3 + -30n + 30n

Combine like terms: 7n + 30n = 37n
-34 + 37n = 3 + -30n + 30n

Combine like terms: -30n + 30n = 0
-34 + 37n = 3 + 0
-34 + 37n = 3

Add '34' to each side of the equation.
-34 + 34 + 37n = 3 + 34

Combine like terms: -34 + 34 = 0
0 + 37n = 3 + 34
37n = 3 + 34

Combine like terms: 3 + 34 = 37
37n = 37

Divide each side by '37'.
n = 1

Simplifying
n = 1