-5(2r+7)+4(r-9)=

Solution for -5(2r+7)+4(r-9)= equation:

Simplifying
-5(2r + 7) + 4(r + -9) = 0

Reorder the terms:
-5(7 + 2r) + 4(r + -9) = 0
(7 * -5 + 2r * -5) + 4(r + -9) = 0
(-35 + -10r) + 4(r + -9) = 0

Reorder the terms:
-35 + -10r + 4(-9 + r) = 0
-35 + -10r + (-9 * 4 + r * 4) = 0
-35 + -10r + (-36 + 4r) = 0

Reorder the terms:
-35 + -36 + -10r + 4r = 0

Combine like terms: -35 + -36 = -71
-71 + -10r + 4r = 0

Combine like terms: -10r + 4r = -6r
-71 + -6r = 0

Solving
-71 + -6r = 0

Solving for variable 'r'.

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

Add '71' to each side of the equation.
-71 + 71 + -6r = 0 + 71

Combine like terms: -71 + 71 = 0
0 + -6r = 0 + 71
-6r = 0 + 71

Combine like terms: 0 + 71 = 71
-6r = 71

Divide each side by '-6'.
r = -11.83333333

Simplifying
r = -11.83333333