5(r+9)-3(1-r)=1

Solution for 5(r+9)-3(1-r)=1 equation:

Simplifying
5(r + 9) + -3(1 + -1r) = 1

Reorder the terms:
5(9 + r) + -3(1 + -1r) = 1
(9 * 5 + r * 5) + -3(1 + -1r) = 1
(45 + 5r) + -3(1 + -1r) = 1
45 + 5r + (1 * -3 + -1r * -3) = 1
45 + 5r + (-3 + 3r) = 1

Reorder the terms:
45 + -3 + 5r + 3r = 1

Combine like terms: 45 + -3 = 42
42 + 5r + 3r = 1

Combine like terms: 5r + 3r = 8r
42 + 8r = 1

Solving
42 + 8r = 1

Solving for variable 'r'.

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

Add '-42' to each side of the equation.
42 + -42 + 8r = 1 + -42

Combine like terms: 42 + -42 = 0
0 + 8r = 1 + -42
8r = 1 + -42

Combine like terms: 1 + -42 = -41
8r = -41

Divide each side by '8'.
r = -5.125

Simplifying
r = -5.125