How do you solve 5 (3+k) = 45

15 + 5k = 45

5k = 30

k = 6

We simplify the equation to the form, which is simple to understand

5 (3+k) = 45

Reorder the terms in parentheses

+ (+15+5k) = 45

Remove unnecessary parentheses

+15+5k=+45

We move all terms containing k to the left and all other terms to the right.

+5k=+45-15

We simplify left and right side of the equation.

+5k=+30

We divide both sides of the equation by 5 to get k.

k=6