1.8r+9=5.7r-6

Solution for 1.8r+9=5.7r-6 equation:

Simplifying
1.8r + 9 = 5.7r + -6

Reorder the terms:
9 + 1.8r = 5.7r + -6

Reorder the terms:
9 + 1.8r = -6 + 5.7r

Solving
9 + 1.8r = -6 + 5.7r

Solving for variable 'r'.

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

Add '-5.7r' to each side of the equation.
9 + 1.8r + -5.7r = -6 + 5.7r + -5.7r

Combine like terms: 1.8r + -5.7r = -3.9r
9 + -3.9r = -6 + 5.7r + -5.7r

Combine like terms: 5.7r + -5.7r = 0.0
9 + -3.9r = -6 + 0.0
9 + -3.9r = -6

Add '-9' to each side of the equation.
9 + -9 + -3.9r = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3.9r = -6 + -9
-3.9r = -6 + -9

Combine like terms: -6 + -9 = -15
-3.9r = -15

Divide each side by '-3.9'.
r = 3.846153846

Simplifying
r = 3.846153846