13-3r+3+6r-2r-1=3+2(9)

Solution for 13-3r+3+6r-2r-1=3+2(9) equation:

Simplifying
13 + -3r + 3 + 6r + -2r + -1 = 3 + 2(9)

Reorder the terms:
13 + 3 + -1 + -3r + 6r + -2r = 3 + 2(9)

Combine like terms: 13 + 3 = 16
16 + -1 + -3r + 6r + -2r = 3 + 2(9)

Combine like terms: 16 + -1 = 15
15 + -3r + 6r + -2r = 3 + 2(9)

Combine like terms: -3r + 6r = 3r
15 + 3r + -2r = 3 + 2(9)

Combine like terms: 3r + -2r = 1r
15 + 1r = 3 + 2(9)

Multiply 2 * 9
15 + 1r = 3 + 18

Combine like terms: 3 + 18 = 21
15 + 1r = 21

Solving
15 + 1r = 21

Solving for variable 'r'.

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

Add '-15' to each side of the equation.
15 + -15 + 1r = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 1r = 21 + -15
1r = 21 + -15

Combine like terms: 21 + -15 = 6
1r = 6

Divide each side by '1'.
r = 6

Simplifying
r = 6