15(5.5+r)=24(5.5-r)

Solution for 15(5.5+r)=24(5.5-r) equation:

Simplifying
15(5.5 + r) = 24(5.5 + -1r)
(5.5 * 15 + r * 15) = 24(5.5 + -1r)
(82.5 + 15r) = 24(5.5 + -1r)
82.5 + 15r = (5.5 * 24 + -1r * 24)
82.5 + 15r = (132 + -24r)

Solving
82.5 + 15r = 132 + -24r

Solving for variable 'r'.

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

Add '24r' to each side of the equation.
82.5 + 15r + 24r = 132 + -24r + 24r

Combine like terms: 15r + 24r = 39r
82.5 + 39r = 132 + -24r + 24r

Combine like terms: -24r + 24r = 0
82.5 + 39r = 132 + 0
82.5 + 39r = 132

Add '-82.5' to each side of the equation.
82.5 + -82.5 + 39r = 132 + -82.5

Combine like terms: 82.5 + -82.5 = 0.0
0.0 + 39r = 132 + -82.5
39r = 132 + -82.5

Combine like terms: 132 + -82.5 = 49.5
39r = 49.5

Divide each side by '39'.
r = 1.269230769

Simplifying
r = 1.269230769