6(1+3r)=2(10r-9)-4

Solution for 6(1+3r)=2(10r-9)-4 equation:

Simplifying
6(1 + 3r) = 2(10r + -9) + -4
(1 * 6 + 3r * 6) = 2(10r + -9) + -4
(6 + 18r) = 2(10r + -9) + -4

Reorder the terms:
6 + 18r = 2(-9 + 10r) + -4
6 + 18r = (-9 * 2 + 10r * 2) + -4
6 + 18r = (-18 + 20r) + -4

Reorder the terms:
6 + 18r = -18 + -4 + 20r

Combine like terms: -18 + -4 = -22
6 + 18r = -22 + 20r

Solving
6 + 18r = -22 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
6 + 18r + -20r = -22 + 20r + -20r

Combine like terms: 18r + -20r = -2r
6 + -2r = -22 + 20r + -20r

Combine like terms: 20r + -20r = 0
6 + -2r = -22 + 0
6 + -2r = -22

Add '-6' to each side of the equation.
6 + -6 + -2r = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = -22 + -6
-2r = -22 + -6

Combine like terms: -22 + -6 = -28
-2r = -28

Divide each side by '-2'.
r = 14

Simplifying
r = 14