2(5r-6)-3(3r-2)-14r=

Solution for 2(5r-6)-3(3r-2)-14r= equation:

Simplifying
2(5r + -6) + -3(3r + -2) + -14r = 0

Reorder the terms:
2(-6 + 5r) + -3(3r + -2) + -14r = 0
(-6 * 2 + 5r * 2) + -3(3r + -2) + -14r = 0
(-12 + 10r) + -3(3r + -2) + -14r = 0

Reorder the terms:
-12 + 10r + -3(-2 + 3r) + -14r = 0
-12 + 10r + (-2 * -3 + 3r * -3) + -14r = 0
-12 + 10r + (6 + -9r) + -14r = 0

Reorder the terms:
-12 + 6 + 10r + -9r + -14r = 0

Combine like terms: -12 + 6 = -6
-6 + 10r + -9r + -14r = 0

Combine like terms: 10r + -9r = 1r
-6 + 1r + -14r = 0

Combine like terms: 1r + -14r = -13r
-6 + -13r = 0

Solving
-6 + -13r = 0

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + -13r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -13r = 0 + 6
-13r = 0 + 6

Combine like terms: 0 + 6 = 6
-13r = 6

Divide each side by '-13'.
r = -0.4615384615

Simplifying
r = -0.4615384615