5r-7(2r+5)=-20

Solution for 5r-7(2r+5)=-20 equation:

Simplifying
5r + -7(2r + 5) = -20

Reorder the terms:
5r + -7(5 + 2r) = -20
5r + (5 * -7 + 2r * -7) = -20
5r + (-35 + -14r) = -20

Reorder the terms:
-35 + 5r + -14r = -20

Combine like terms: 5r + -14r = -9r
-35 + -9r = -20

Solving
-35 + -9r = -20

Solving for variable 'r'.

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

Add '35' to each side of the equation.
-35 + 35 + -9r = -20 + 35

Combine like terms: -35 + 35 = 0
0 + -9r = -20 + 35
-9r = -20 + 35

Combine like terms: -20 + 35 = 15
-9r = 15

Divide each side by '-9'.
r = -1.666666667

Simplifying
r = -1.666666667