-(-3+r)+3(1+r)=10

Solution for -(-3+r)+3(1+r)=10 equation:

Simplifying
-1(-3 + r) + 3(1 + r) = 10
(-3 * -1 + r * -1) + 3(1 + r) = 10
(3 + -1r) + 3(1 + r) = 10
3 + -1r + (1 * 3 + r * 3) = 10
3 + -1r + (3 + 3r) = 10

Reorder the terms:
3 + 3 + -1r + 3r = 10

Combine like terms: 3 + 3 = 6
6 + -1r + 3r = 10

Combine like terms: -1r + 3r = 2r
6 + 2r = 10

Solving
6 + 2r = 10

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 + 2r = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = 10 + -6
2r = 10 + -6

Combine like terms: 10 + -6 = 4
2r = 4

Divide each side by '2'.
r = 2

Simplifying
r = 2