2(R-6)-9(R+3)=2(R+9)

Solution for 2(R-6)-9(R+3)=2(R+9) equation:

Simplifying
2(R + -6) + -9(R + 3) = 2(R + 9)

Reorder the terms:
2(-6 + R) + -9(R + 3) = 2(R + 9)
(-6 * 2 + R * 2) + -9(R + 3) = 2(R + 9)
(-12 + 2R) + -9(R + 3) = 2(R + 9)

Reorder the terms:
-12 + 2R + -9(3 + R) = 2(R + 9)
-12 + 2R + (3 * -9 + R * -9) = 2(R + 9)
-12 + 2R + (-27 + -9R) = 2(R + 9)

Reorder the terms:
-12 + -27 + 2R + -9R = 2(R + 9)

Combine like terms: -12 + -27 = -39
-39 + 2R + -9R = 2(R + 9)

Combine like terms: 2R + -9R = -7R
-39 + -7R = 2(R + 9)

Reorder the terms:
-39 + -7R = 2(9 + R)
-39 + -7R = (9 * 2 + R * 2)
-39 + -7R = (18 + 2R)

Solving
-39 + -7R = 18 + 2R

Solving for variable 'R'.

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

Add '-2R' to each side of the equation.
-39 + -7R + -2R = 18 + 2R + -2R

Combine like terms: -7R + -2R = -9R
-39 + -9R = 18 + 2R + -2R

Combine like terms: 2R + -2R = 0
-39 + -9R = 18 + 0
-39 + -9R = 18

Add '39' to each side of the equation.
-39 + 39 + -9R = 18 + 39

Combine like terms: -39 + 39 = 0
0 + -9R = 18 + 39
-9R = 18 + 39

Combine like terms: 18 + 39 = 57
-9R = 57

Divide each side by '-9'.
R = -6.333333333

Simplifying
R = -6.333333333