5(R-6)+3=18-(3+2R)

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Solution for 5(R-6)+3=18-(3+2R) equation: 


Simplifying
5(R + -6) + 3 = 18 + -1(3 + 2R)

Reorder the terms:
5(-6 + R) + 3 = 18 + -1(3 + 2R)
(-6 * 5 + R * 5) + 3 = 18 + -1(3 + 2R)
(-30 + 5R) + 3 = 18 + -1(3 + 2R)

Reorder the terms:
-30 + 3 + 5R = 18 + -1(3 + 2R)

Combine like terms: -30 + 3 = -27
-27 + 5R = 18 + -1(3 + 2R)
-27 + 5R = 18 + (3 * -1 + 2R * -1)
-27 + 5R = 18 + (-3 + -2R)

Combine like terms: 18 + -3 = 15
-27 + 5R = 15 + -2R

Solving
-27 + 5R = 15 + -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.
-27 + 5R + 2R = 15 + -2R + 2R

Combine like terms: 5R + 2R = 7R
-27 + 7R = 15 + -2R + 2R

Combine like terms: -2R + 2R = 0
-27 + 7R = 15 + 0
-27 + 7R = 15

Add '27' to each side of the equation.
-27 + 27 + 7R = 15 + 27

Combine like terms: -27 + 27 = 0
0 + 7R = 15 + 27
7R = 15 + 27

Combine like terms: 15 + 27 = 42
7R = 42

Divide each side by '7'.
R = 6

Simplifying
R = 6

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