R-(1-2r)+(r-5)=13

Solution for R-(1-2r)+(r-5)=13 equation:

Simplifying
R + -1(1 + -2r) + (r + -5) = 13
R + (1 * -1 + -2r * -1) + (r + -5) = 13
R + (-1 + 2r) + (r + -5) = 13

Reorder the terms:
R + -1 + 2r + (-5 + r) = 13

Remove parenthesis around (-5 + r)
R + -1 + 2r + -5 + r = 13

Reorder the terms:
-1 + -5 + R + 2r + r = 13

Combine like terms: -1 + -5 = -6
-6 + R + 2r + r = 13

Combine like terms: 2r + r = 3r
-6 + R + 3r = 13

Solving
-6 + R + 3r = 13

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 + R + 6 + 3r = 13 + 6

Reorder the terms:
-6 + 6 + R + 3r = 13 + 6

Combine like terms: -6 + 6 = 0
0 + R + 3r = 13 + 6
R + 3r = 13 + 6

Combine like terms: 13 + 6 = 19
R + 3r = 19

Add '-3r' to each side of the equation.
R + 3r + -3r = 19 + -3r

Combine like terms: 3r + -3r = 0
R + 0 = 19 + -3r
R = 19 + -3r

Simplifying
R = 19 + -3r