7.5r+6=r(6-7)

Solution for 7.5r+6=r(6-7) equation:

Simplifying
7.5r + 6 = r(6 + -7)

Reorder the terms:
6 + 7.5r = r(6 + -7)

Combine like terms: 6 + -7 = -1
6 + 7.5r = r(-1)

Reorder the terms for easier multiplication:
6 + 7.5r = -1r

Solving
6 + 7.5r = -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
6 + 7.5r + r = -1r + r

Combine like terms: 7.5r + r = 8.5r
6 + 8.5r = -1r + r

Combine like terms: -1r + r = 0
6 + 8.5r = 0

Add '-6' to each side of the equation.
6 + -6 + 8.5r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8.5r = 0 + -6
8.5r = 0 + -6

Combine like terms: 0 + -6 = -6
8.5r = -6

Divide each side by '8.5'.
r = -0.7058823529

Simplifying
r = -0.7058823529