2k+3(k+1)=7

Solution for 2k+3(k+1)=7 equation:

Simplifying
2k + 3(k + 1) = 7

Reorder the terms:
2k + 3(1 + k) = 7
2k + (1 * 3 + k * 3) = 7
2k + (3 + 3k) = 7

Reorder the terms:
3 + 2k + 3k = 7

Combine like terms: 2k + 3k = 5k
3 + 5k = 7

Solving
3 + 5k = 7

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + 5k = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 5k = 7 + -3
5k = 7 + -3

Combine like terms: 7 + -3 = 4
5k = 4

Divide each side by '5'.
k = 0.8

Simplifying
k = 0.8