6(r-12)+5(r-13)=6

Solution for 6(r-12)+5(r-13)=6 equation:

Simplifying
6(r + -12) + 5(r + -13) = 6

Reorder the terms:
6(-12 + r) + 5(r + -13) = 6
(-12 * 6 + r * 6) + 5(r + -13) = 6
(-72 + 6r) + 5(r + -13) = 6

Reorder the terms:
-72 + 6r + 5(-13 + r) = 6
-72 + 6r + (-13 * 5 + r * 5) = 6
-72 + 6r + (-65 + 5r) = 6

Reorder the terms:
-72 + -65 + 6r + 5r = 6

Combine like terms: -72 + -65 = -137
-137 + 6r + 5r = 6

Combine like terms: 6r + 5r = 11r
-137 + 11r = 6

Solving
-137 + 11r = 6

Solving for variable 'r'.

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

Add '137' to each side of the equation.
-137 + 137 + 11r = 6 + 137

Combine like terms: -137 + 137 = 0
0 + 11r = 6 + 137
11r = 6 + 137

Combine like terms: 6 + 137 = 143
11r = 143

Divide each side by '11'.
r = 13

Simplifying
r = 13