3(-1+2r)+2(2r-3)=-29

Solution for 3(-1+2r)+2(2r-3)=-29 equation:

Simplifying
3(-1 + 2r) + 2(2r + -3) = -29
(-1 * 3 + 2r * 3) + 2(2r + -3) = -29
(-3 + 6r) + 2(2r + -3) = -29

Reorder the terms:
-3 + 6r + 2(-3 + 2r) = -29
-3 + 6r + (-3 * 2 + 2r * 2) = -29
-3 + 6r + (-6 + 4r) = -29

Reorder the terms:
-3 + -6 + 6r + 4r = -29

Combine like terms: -3 + -6 = -9
-9 + 6r + 4r = -29

Combine like terms: 6r + 4r = 10r
-9 + 10r = -29

Solving
-9 + 10r = -29

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 10r = -29 + 9

Combine like terms: -9 + 9 = 0
0 + 10r = -29 + 9
10r = -29 + 9

Combine like terms: -29 + 9 = -20
10r = -20

Divide each side by '10'.
r = -2

Simplifying
r = -2