1.15r+1.15(r+6)=42.5

Solution for 1.15r+1.15(r+6)=42.5 equation:

Simplifying
1.15r + 1.15(r + 6) = 42.5

Reorder the terms:
1.15r + 1.15(6 + r) = 42.5
1.15r + (6 * 1.15 + r * 1.15) = 42.5
1.15r + (6.9 + 1.15r) = 42.5

Reorder the terms:
6.9 + 1.15r + 1.15r = 42.5

Combine like terms: 1.15r + 1.15r = 2.3r
6.9 + 2.3r = 42.5

Solving
6.9 + 2.3r = 42.5

Solving for variable 'r'.

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

Add '-6.9' to each side of the equation.
6.9 + -6.9 + 2.3r = 42.5 + -6.9

Combine like terms: 6.9 + -6.9 = 0.0
0.0 + 2.3r = 42.5 + -6.9
2.3r = 42.5 + -6.9

Combine like terms: 42.5 + -6.9 = 35.6
2.3r = 35.6

Divide each side by '2.3'.
r = 15.47826087

Simplifying
r = 15.47826087