3(k+1)-5(k-3)=34

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

Simplifying
3(k + 1) + -5(k + -3) = 34

Reorder the terms:
3(1 + k) + -5(k + -3) = 34
(1 * 3 + k * 3) + -5(k + -3) = 34
(3 + 3k) + -5(k + -3) = 34

Reorder the terms:
3 + 3k + -5(-3 + k) = 34
3 + 3k + (-3 * -5 + k * -5) = 34
3 + 3k + (15 + -5k) = 34

Reorder the terms:
3 + 15 + 3k + -5k = 34

Combine like terms: 3 + 15 = 18
18 + 3k + -5k = 34

Combine like terms: 3k + -5k = -2k
18 + -2k = 34

Solving
18 + -2k = 34

Solving for variable 'k'.

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

Add '-18' to each side of the equation.
18 + -18 + -2k = 34 + -18

Combine like terms: 18 + -18 = 0
0 + -2k = 34 + -18
-2k = 34 + -18

Combine like terms: 34 + -18 = 16
-2k = 16

Divide each side by '-2'.
k = -8

Simplifying
k = -8