3(2r+7)+3(3r-5)=

Solution for 3(2r+7)+3(3r-5)= equation:

Simplifying
3(2r + 7) + 3(3r + -5) = 0

Reorder the terms:
3(7 + 2r) + 3(3r + -5) = 0
(7 * 3 + 2r * 3) + 3(3r + -5) = 0
(21 + 6r) + 3(3r + -5) = 0

Reorder the terms:
21 + 6r + 3(-5 + 3r) = 0
21 + 6r + (-5 * 3 + 3r * 3) = 0
21 + 6r + (-15 + 9r) = 0

Reorder the terms:
21 + -15 + 6r + 9r = 0

Combine like terms: 21 + -15 = 6
6 + 6r + 9r = 0

Combine like terms: 6r + 9r = 15r
6 + 15r = 0

Solving
6 + 15r = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 15r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 15r = 0 + -6
15r = 0 + -6

Combine like terms: 0 + -6 = -6
15r = -6

Divide each side by '15'.
r = -0.4

Simplifying
r = -0.4