5(r+9)-2(-1-r)=1

Solution for 5(r+9)-2(-1-r)=1 equation:

Simplifying
5(r + 9) + -2(-1 + -1r) = 1

Reorder the terms:
5(9 + r) + -2(-1 + -1r) = 1
(9 * 5 + r * 5) + -2(-1 + -1r) = 1
(45 + 5r) + -2(-1 + -1r) = 1
45 + 5r + (-1 * -2 + -1r * -2) = 1
45 + 5r + (2 + 2r) = 1

Reorder the terms:
45 + 2 + 5r + 2r = 1

Combine like terms: 45 + 2 = 47
47 + 5r + 2r = 1

Combine like terms: 5r + 2r = 7r
47 + 7r = 1

Solving
47 + 7r = 1

Solving for variable 'r'.

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

Add '-47' to each side of the equation.
47 + -47 + 7r = 1 + -47

Combine like terms: 47 + -47 = 0
0 + 7r = 1 + -47
7r = 1 + -47

Combine like terms: 1 + -47 = -46
7r = -46

Divide each side by '7'.
r = -6.571428571

Simplifying
r = -6.571428571