6(r-1)+2(3r-5)=4

Solution for 6(r-1)+2(3r-5)=4 equation:

Simplifying
6(r + -1) + 2(3r + -5) = 4

Reorder the terms:
6(-1 + r) + 2(3r + -5) = 4
(-1 * 6 + r * 6) + 2(3r + -5) = 4
(-6 + 6r) + 2(3r + -5) = 4

Reorder the terms:
-6 + 6r + 2(-5 + 3r) = 4
-6 + 6r + (-5 * 2 + 3r * 2) = 4
-6 + 6r + (-10 + 6r) = 4

Reorder the terms:
-6 + -10 + 6r + 6r = 4

Combine like terms: -6 + -10 = -16
-16 + 6r + 6r = 4

Combine like terms: 6r + 6r = 12r
-16 + 12r = 4

Solving
-16 + 12r = 4

Solving for variable 'r'.

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

Add '16' to each side of the equation.
-16 + 16 + 12r = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 12r = 4 + 16
12r = 4 + 16

Combine like terms: 4 + 16 = 20
12r = 20

Divide each side by '12'.
r = 1.666666667

Simplifying
r = 1.666666667