3(r-10)+4(r-18)=10

Solution for 3(r-10)+4(r-18)=10 equation:

Simplifying
3(r + -10) + 4(r + -18) = 10

Reorder the terms:
3(-10 + r) + 4(r + -18) = 10
(-10 * 3 + r * 3) + 4(r + -18) = 10
(-30 + 3r) + 4(r + -18) = 10

Reorder the terms:
-30 + 3r + 4(-18 + r) = 10
-30 + 3r + (-18 * 4 + r * 4) = 10
-30 + 3r + (-72 + 4r) = 10

Reorder the terms:
-30 + -72 + 3r + 4r = 10

Combine like terms: -30 + -72 = -102
-102 + 3r + 4r = 10

Combine like terms: 3r + 4r = 7r
-102 + 7r = 10

Solving
-102 + 7r = 10

Solving for variable 'r'.

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

Add '102' to each side of the equation.
-102 + 102 + 7r = 10 + 102

Combine like terms: -102 + 102 = 0
0 + 7r = 10 + 102
7r = 10 + 102

Combine like terms: 10 + 102 = 112
7r = 112

Divide each side by '7'.
r = 16

Simplifying
r = 16