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

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

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

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

Combine like terms: 1 + -9 = -8
45 + 5r + -2(-8) = 1

Multiply -2 * -8
45 + 5r + 16 = 1

Reorder the terms:
45 + 16 + 5r = 1

Combine like terms: 45 + 16 = 61
61 + 5r = 1

Solving
61 + 5r = 1

Solving for variable 'r'.

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

Add '-61' to each side of the equation.
61 + -61 + 5r = 1 + -61

Combine like terms: 61 + -61 = 0
0 + 5r = 1 + -61
5r = 1 + -61

Combine like terms: 1 + -61 = -60
5r = -60

Divide each side by '5'.
r = -12

Simplifying
r = -12