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

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

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

Reorder the terms:
34 + 5n = -3(1 + -7n)
34 + 5n = (1 * -3 + -7n * -3)
34 + 5n = (-3 + 21n)

Solving
34 + 5n = -3 + 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.
34 + 5n + -21n = -3 + 21n + -21n

Combine like terms: 5n + -21n = -16n
34 + -16n = -3 + 21n + -21n

Combine like terms: 21n + -21n = 0
34 + -16n = -3 + 0
34 + -16n = -3

Add '-34' to each side of the equation.
34 + -34 + -16n = -3 + -34

Combine like terms: 34 + -34 = 0
0 + -16n = -3 + -34
-16n = -3 + -34

Combine like terms: -3 + -34 = -37
-16n = -37

Divide each side by '-16'.
n = 2.3125

Simplifying
n = 2.3125