r-2(1-3(2r+4))=61

Solution for r-2(1-3(2r+4))=61 equation:

Simplifying
r + -2(1 + -3(2r + 4)) = 61

Reorder the terms:
r + -2(1 + -3(4 + 2r)) = 61
r + -2(1 + (4 * -3 + 2r * -3)) = 61
r + -2(1 + (-12 + -6r)) = 61

Combine like terms: 1 + -12 = -11
r + -2(-11 + -6r) = 61
r + (-11 * -2 + -6r * -2) = 61
r + (22 + 12r) = 61

Reorder the terms:
22 + r + 12r = 61

Combine like terms: r + 12r = 13r
22 + 13r = 61

Solving
22 + 13r = 61

Solving for variable 'r'.

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

Add '-22' to each side of the equation.
22 + -22 + 13r = 61 + -22

Combine like terms: 22 + -22 = 0
0 + 13r = 61 + -22
13r = 61 + -22

Combine like terms: 61 + -22 = 39
13r = 39

Divide each side by '13'.
r = 3

Simplifying
r = 3