6r+2s-3(3r-5s)=

Solution for 6r+2s-3(3r-5s)= equation:

Simplifying
6r + 2s + -3(3r + -5s) = 0
6r + 2s + (3r * -3 + -5s * -3) = 0
6r + 2s + (-9r + 15s) = 0

Reorder the terms:
6r + -9r + 2s + 15s = 0

Combine like terms: 6r + -9r = -3r
-3r + 2s + 15s = 0

Combine like terms: 2s + 15s = 17s
-3r + 17s = 0

Solving
-3r + 17s = 0

Solving for variable 'r'.

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

Add '-17s' to each side of the equation.
-3r + 17s + -17s = 0 + -17s

Combine like terms: 17s + -17s = 0
-3r + 0 = 0 + -17s
-3r = 0 + -17s
Remove the zero:
-3r = -17s

Divide each side by '-3'.
r = 5.666666667s

Simplifying
r = 5.666666667s