.5(2k+6)=.75

Solution for .5(2k+6)=.75 equation:

Simplifying
0.5(2k + 6) = 0.75

Reorder the terms:
0.5(6 + 2k) = 0.75
(6 * 0.5 + 2k * 0.5) = 0.75
(3 + 1k) = 0.75

Solving
3 + 1k = 0.75

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 + 1k = 0.75 + -3

Combine like terms: 3 + -3 = 0
0 + 1k = 0.75 + -3
1k = 0.75 + -3

Combine like terms: 0.75 + -3 = -2.25
1k = -2.25

Divide each side by '1'.
k = -2.25

Simplifying
k = -2.25