6(3r+7)=114

Solution for 6(3r+7)=114 equation:

Simplifying
6(3r + 7) = 114

Reorder the terms:
6(7 + 3r) = 114
(7 * 6 + 3r * 6) = 114
(42 + 18r) = 114

Solving
42 + 18r = 114

Solving for variable 'r'.

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

Add '-42' to each side of the equation.
42 + -42 + 18r = 114 + -42

Combine like terms: 42 + -42 = 0
0 + 18r = 114 + -42
18r = 114 + -42

Combine like terms: 114 + -42 = 72
18r = 72

Divide each side by '18'.
r = 4

Simplifying
r = 4