r-(10.5-13r)=5

Solution for r-(10.5-13r)=5 equation:

Simplifying
r + -1(10.5 + -13r) = 5
r + (10.5 * -1 + -13r * -1) = 5
r + (-10.5 + 13r) = 5

Reorder the terms:
-10.5 + r + 13r = 5

Combine like terms: r + 13r = 14r
-10.5 + 14r = 5

Solving
-10.5 + 14r = 5

Solving for variable 'r'.

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

Add '10.5' to each side of the equation.
-10.5 + 10.5 + 14r = 5 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + 14r = 5 + 10.5
14r = 5 + 10.5

Combine like terms: 5 + 10.5 = 15.5
14r = 15.5

Divide each side by '14'.
r = 1.107142857

Simplifying
r = 1.107142857