5(-6+3r)+5(5r+4)=33

Solution for 5(-6+3r)+5(5r+4)=33 equation:

Simplifying
5(-6 + 3r) + 5(5r + 4) = 33
(-6 * 5 + 3r * 5) + 5(5r + 4) = 33
(-30 + 15r) + 5(5r + 4) = 33

Reorder the terms:
-30 + 15r + 5(4 + 5r) = 33
-30 + 15r + (4 * 5 + 5r * 5) = 33
-30 + 15r + (20 + 25r) = 33

Reorder the terms:
-30 + 20 + 15r + 25r = 33

Combine like terms: -30 + 20 = -10
-10 + 15r + 25r = 33

Combine like terms: 15r + 25r = 40r
-10 + 40r = 33

Solving
-10 + 40r = 33

Solving for variable 'r'.

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

Add '10' to each side of the equation.
-10 + 10 + 40r = 33 + 10

Combine like terms: -10 + 10 = 0
0 + 40r = 33 + 10
40r = 33 + 10

Combine like terms: 33 + 10 = 43
40r = 43

Divide each side by '40'.
r = 1.075

Simplifying
r = 1.075