3(k+1)+1=10

Solution for 3(k+1)+1=10 equation:

Simplifying
3(k + 1) + 1 = 10

Reorder the terms:
3(1 + k) + 1 = 10
(1 * 3 + k * 3) + 1 = 10
(3 + 3k) + 1 = 10

Reorder the terms:
3 + 1 + 3k = 10

Combine like terms: 3 + 1 = 4
4 + 3k = 10

Solving
4 + 3k = 10

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + 3k = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3k = 10 + -4
3k = 10 + -4

Combine like terms: 10 + -4 = 6
3k = 6

Divide each side by '3'.
k = 2

Simplifying
k = 2