1.25r+1.25(r+6)=42.5

Solution for 1.25r+1.25(r+6)=42.5 equation:

Simplifying
1.25r + 1.25(r + 6) = 42.5

Reorder the terms:
1.25r + 1.25(6 + r) = 42.5
1.25r + (6 * 1.25 + r * 1.25) = 42.5
1.25r + (7.5 + 1.25r) = 42.5

Reorder the terms:
7.5 + 1.25r + 1.25r = 42.5

Combine like terms: 1.25r + 1.25r = 2.5r
7.5 + 2.5r = 42.5

Solving
7.5 + 2.5r = 42.5

Solving for variable 'r'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 2.5r = 42.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 2.5r = 42.5 + -7.5
2.5r = 42.5 + -7.5

Combine like terms: 42.5 + -7.5 = 35
2.5r = 35

Divide each side by '2.5'.
r = 14

Simplifying
r = 14