1.15r+1.15(r+4)=40

Solution for 1.15r+1.15(r+4)=40 equation:

Simplifying
1.15r + 1.15(r + 4) = 40

Reorder the terms:
1.15r + 1.15(4 + r) = 40
1.15r + (4 * 1.15 + r * 1.15) = 40
1.15r + (4.6 + 1.15r) = 40

Reorder the terms:
4.6 + 1.15r + 1.15r = 40

Combine like terms: 1.15r + 1.15r = 2.3r
4.6 + 2.3r = 40

Solving
4.6 + 2.3r = 40

Solving for variable 'r'.

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

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 2.3r = 40 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 2.3r = 40 + -4.6
2.3r = 40 + -4.6

Combine like terms: 40 + -4.6 = 35.4
2.3r = 35.4

Divide each side by '2.3'.
r = 15.39130435

Simplifying
r = 15.39130435