7r-2(r-8)=5

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

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

Reorder the terms:
7r + -2(-8 + r) = 5
7r + (-8 * -2 + r * -2) = 5
7r + (16 + -2r) = 5

Reorder the terms:
16 + 7r + -2r = 5

Combine like terms: 7r + -2r = 5r
16 + 5r = 5

Solving
16 + 5r = 5

Solving for variable 'r'.

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

Add '-16' to each side of the equation.
16 + -16 + 5r = 5 + -16

Combine like terms: 16 + -16 = 0
0 + 5r = 5 + -16
5r = 5 + -16

Combine like terms: 5 + -16 = -11
5r = -11

Divide each side by '5'.
r = -2.2

Simplifying
r = -2.2