8(-2r-3)-3(3-5r)=-37

Solution for 8(-2r-3)-3(3-5r)=-37 equation:

Simplifying
8(-2r + -3) + -3(3 + -5r) = -37

Reorder the terms:
8(-3 + -2r) + -3(3 + -5r) = -37
(-3 * 8 + -2r * 8) + -3(3 + -5r) = -37
(-24 + -16r) + -3(3 + -5r) = -37
-24 + -16r + (3 * -3 + -5r * -3) = -37
-24 + -16r + (-9 + 15r) = -37

Reorder the terms:
-24 + -9 + -16r + 15r = -37

Combine like terms: -24 + -9 = -33
-33 + -16r + 15r = -37

Combine like terms: -16r + 15r = -1r
-33 + -1r = -37

Solving
-33 + -1r = -37

Solving for variable 'r'.

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

Add '33' to each side of the equation.
-33 + 33 + -1r = -37 + 33

Combine like terms: -33 + 33 = 0
0 + -1r = -37 + 33
-1r = -37 + 33

Combine like terms: -37 + 33 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4