6(7-3)+2(3+6)=4r+2

Solution for 6(7-3)+2(3+6)=4r+2 equation:

Simplifying
6(7 + -3) + 2(3 + 6) = 4r + 2

Combine like terms: 7 + -3 = 4
6(4) + 2(3 + 6) = 4r + 2

Multiply 6 * 4
24 + 2(3 + 6) = 4r + 2

Combine like terms: 3 + 6 = 9
24 + 2(9) = 4r + 2

Multiply 2 * 9
24 + 18 = 4r + 2

Combine like terms: 24 + 18 = 42
42 = 4r + 2

Reorder the terms:
42 = 2 + 4r

Solving
42 = 2 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
42 + -4r = 2 + 4r + -4r

Combine like terms: 4r + -4r = 0
42 + -4r = 2 + 0
42 + -4r = 2

Add '-42' to each side of the equation.
42 + -42 + -4r = 2 + -42

Combine like terms: 42 + -42 = 0
0 + -4r = 2 + -42
-4r = 2 + -42

Combine like terms: 2 + -42 = -40
-4r = -40

Divide each side by '-4'.
r = 10

Simplifying
r = 10