6(7r-8)=-4r+2(2r-3)

Solution for 6(7r-8)=-4r+2(2r-3) equation:

Simplifying
6(7r + -8) = -4r + 2(2r + -3)

Reorder the terms:
6(-8 + 7r) = -4r + 2(2r + -3)
(-8 * 6 + 7r * 6) = -4r + 2(2r + -3)
(-48 + 42r) = -4r + 2(2r + -3)

Reorder the terms:
-48 + 42r = -4r + 2(-3 + 2r)
-48 + 42r = -4r + (-3 * 2 + 2r * 2)
-48 + 42r = -4r + (-6 + 4r)

Reorder the terms:
-48 + 42r = -6 + -4r + 4r

Combine like terms: -4r + 4r = 0
-48 + 42r = -6 + 0
-48 + 42r = -6

Solving
-48 + 42r = -6

Solving for variable 'r'.

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

Add '48' to each side of the equation.
-48 + 48 + 42r = -6 + 48

Combine like terms: -48 + 48 = 0
0 + 42r = -6 + 48
42r = -6 + 48

Combine like terms: -6 + 48 = 42
42r = 42

Divide each side by '42'.
r = 1

Simplifying
r = 1