-3(8r-2)=-7-5(5r-2)

Solution for -3(8r-2)=-7-5(5r-2) equation:

Simplifying
-3(8r + -2) = -7 + -5(5r + -2)

Reorder the terms:
-3(-2 + 8r) = -7 + -5(5r + -2)
(-2 * -3 + 8r * -3) = -7 + -5(5r + -2)
(6 + -24r) = -7 + -5(5r + -2)

Reorder the terms:
6 + -24r = -7 + -5(-2 + 5r)
6 + -24r = -7 + (-2 * -5 + 5r * -5)
6 + -24r = -7 + (10 + -25r)

Combine like terms: -7 + 10 = 3
6 + -24r = 3 + -25r

Solving
6 + -24r = 3 + -25r

Solving for variable 'r'.

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

Add '25r' to each side of the equation.
6 + -24r + 25r = 3 + -25r + 25r

Combine like terms: -24r + 25r = 1r
6 + 1r = 3 + -25r + 25r

Combine like terms: -25r + 25r = 0
6 + 1r = 3 + 0
6 + 1r = 3

Add '-6' to each side of the equation.
6 + -6 + 1r = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 3 + -6
1r = 3 + -6

Combine like terms: 3 + -6 = -3
1r = -3

Divide each side by '1'.
r = -3

Simplifying
r = -3