3(r-10s)-4(7s+2r)=

Solution for 3(r-10s)-4(7s+2r)= equation:

Simplifying
3(r + -10s) + -4(7s + 2r) = 0
(r * 3 + -10s * 3) + -4(7s + 2r) = 0
(3r + -30s) + -4(7s + 2r) = 0

Reorder the terms:
3r + -30s + -4(2r + 7s) = 0
3r + -30s + (2r * -4 + 7s * -4) = 0
3r + -30s + (-8r + -28s) = 0

Reorder the terms:
3r + -8r + -30s + -28s = 0

Combine like terms: 3r + -8r = -5r
-5r + -30s + -28s = 0

Combine like terms: -30s + -28s = -58s
-5r + -58s = 0

Solving
-5r + -58s = 0

Solving for variable 'r'.

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

Add '58s' to each side of the equation.
-5r + -58s + 58s = 0 + 58s

Combine like terms: -58s + 58s = 0
-5r + 0 = 0 + 58s
-5r = 0 + 58s
Remove the zero:
-5r = 58s

Divide each side by '-5'.
r = -11.6s

Simplifying
r = -11.6s