3(r+5)-3(8-3r)=39

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Solution for 3(r+5)-3(8-3r)=39 equation: 


Simplifying
3(r + 5) + -3(8 + -3r) = 39

Reorder the terms:
3(5 + r) + -3(8 + -3r) = 39
(5 * 3 + r * 3) + -3(8 + -3r) = 39
(15 + 3r) + -3(8 + -3r) = 39
15 + 3r + (8 * -3 + -3r * -3) = 39
15 + 3r + (-24 + 9r) = 39

Reorder the terms:
15 + -24 + 3r + 9r = 39

Combine like terms: 15 + -24 = -9
-9 + 3r + 9r = 39

Combine like terms: 3r + 9r = 12r
-9 + 12r = 39

Solving
-9 + 12r = 39

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 12r = 39 + 9

Combine like terms: -9 + 9 = 0
0 + 12r = 39 + 9
12r = 39 + 9

Combine like terms: 39 + 9 = 48
12r = 48

Divide each side by '12'.
r = 4

Simplifying
r = 4

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