3-.5(k+1)=6

Solution for 3-.5(k+1)=6 equation:

Simplifying
3 + -0.5(k + 1) = 6

Reorder the terms:
3 + -0.5(1 + k) = 6
3 + (1 * -0.5 + k * -0.5) = 6
3 + (-0.5 + -0.5k) = 6

Combine like terms: 3 + -0.5 = 2.5
2.5 + -0.5k = 6

Solving
2.5 + -0.5k = 6

Solving for variable 'k'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -0.5k = 6 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.5k = 6 + -2.5
-0.5k = 6 + -2.5

Combine like terms: 6 + -2.5 = 3.5
-0.5k = 3.5

Divide each side by '-0.5'.
k = -7

Simplifying
k = -7