-2(r+3)+7(-3r)=-29

Solution for -2(r+3)+7(-3r)=-29 equation:

Simplifying
-2(r + 3) + 7(-3r) = -29

Reorder the terms:
-2(3 + r) + 7(-3r) = -29
(3 * -2 + r * -2) + 7(-3r) = -29
(-6 + -2r) + 7(-3r) = -29

Remove parenthesis around (-3r)
-6 + -2r + 7 * -3r = -29

Multiply 7 * -3
-6 + -2r + -21r = -29

Combine like terms: -2r + -21r = -23r
-6 + -23r = -29

Solving
-6 + -23r = -29

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 + -23r = -29 + 6

Combine like terms: -6 + 6 = 0
0 + -23r = -29 + 6
-23r = -29 + 6

Combine like terms: -29 + 6 = -23
-23r = -23

Divide each side by '-23'.
r = 1

Simplifying
r = 1