1.7r+6=1.4r+15

Solution for 1.7r+6=1.4r+15 equation:

Simplifying
1.7r + 6 = 1.4r + 15

Reorder the terms:
6 + 1.7r = 1.4r + 15

Reorder the terms:
6 + 1.7r = 15 + 1.4r

Solving
6 + 1.7r = 15 + 1.4r

Solving for variable 'r'.

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

Add '-1.4r' to each side of the equation.
6 + 1.7r + -1.4r = 15 + 1.4r + -1.4r

Combine like terms: 1.7r + -1.4r = 0.3r
6 + 0.3r = 15 + 1.4r + -1.4r

Combine like terms: 1.4r + -1.4r = 0.0
6 + 0.3r = 15 + 0.0
6 + 0.3r = 15

Add '-6' to each side of the equation.
6 + -6 + 0.3r = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 0.3r = 15 + -6
0.3r = 15 + -6

Combine like terms: 15 + -6 = 9
0.3r = 9

Divide each side by '0.3'.
r = 30

Simplifying
r = 30