-5(-r-3)=-2r-8(4+5r)

Solution for -5(-r-3)=-2r-8(4+5r) equation:

Simplifying
-5(-1r + -3) = -2r + -8(4 + 5r)

Reorder the terms:
-5(-3 + -1r) = -2r + -8(4 + 5r)
(-3 * -5 + -1r * -5) = -2r + -8(4 + 5r)
(15 + 5r) = -2r + -8(4 + 5r)
15 + 5r = -2r + (4 * -8 + 5r * -8)
15 + 5r = -2r + (-32 + -40r)

Reorder the terms:
15 + 5r = -32 + -2r + -40r

Combine like terms: -2r + -40r = -42r
15 + 5r = -32 + -42r

Solving
15 + 5r = -32 + -42r

Solving for variable 'r'.

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

Add '42r' to each side of the equation.
15 + 5r + 42r = -32 + -42r + 42r

Combine like terms: 5r + 42r = 47r
15 + 47r = -32 + -42r + 42r

Combine like terms: -42r + 42r = 0
15 + 47r = -32 + 0
15 + 47r = -32

Add '-15' to each side of the equation.
15 + -15 + 47r = -32 + -15

Combine like terms: 15 + -15 = 0
0 + 47r = -32 + -15
47r = -32 + -15

Combine like terms: -32 + -15 = -47
47r = -47

Divide each side by '47'.
r = -1

Simplifying
r = -1