3(7r-2)=2lr-6

Solution for 3(7r-2)=2lr-6 equation:

Simplifying
3(7r + -2) = 2lr + -6

Reorder the terms:
3(-2 + 7r) = 2lr + -6
(-2 * 3 + 7r * 3) = 2lr + -6
(-6 + 21r) = 2lr + -6

Reorder the terms:
-6 + 21r = -6 + 2lr

Add '6' to each side of the equation.
-6 + 6 + 21r = -6 + 6 + 2lr

Combine like terms: -6 + 6 = 0
0 + 21r = -6 + 6 + 2lr
21r = -6 + 6 + 2lr

Combine like terms: -6 + 6 = 0
21r = 0 + 2lr
21r = 2lr

Solving
21r = 2lr

Solving for variable 'r'.

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

Add '-2lr' to each side of the equation.
-2lr + 21r = 2lr + -2lr

Combine like terms: 2lr + -2lr = 0
-2lr + 21r = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-2l + 21) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-2l + 21)' equal to zero and attempt to solve:

Simplifying
-2l + 21 = 0

Reorder the terms:
21 + -2l = 0

Solving
21 + -2l = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2l = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2l = 0 + -21
-2l = 0 + -21

Combine like terms: 0 + -21 = -21
-2l = -21

Add '2l' to each side of the equation.
-2l + 2l = -21 + 2l

Combine like terms: -2l + 2l = 0
0 = -21 + 2l

Simplifying
0 = -21 + 2l

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}