5r-3(r+6)=24

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Solution for 5r-3(r+6)=24 equation:


Simplifying
5r + -3(r + 6) = 24

Reorder the terms:
5r + -3(6 + r) = 24
5r + (6 * -3 + r * -3) = 24
5r + (-18 + -3r) = 24

Reorder the terms:
-18 + 5r + -3r = 24

Combine like terms: 5r + -3r = 2r
-18 + 2r = 24

Solving
-18 + 2r = 24

Solving for variable 'r'.

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

Add '18' to each side of the equation.
-18 + 18 + 2r = 24 + 18

Combine like terms: -18 + 18 = 0
0 + 2r = 24 + 18
2r = 24 + 18

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

Divide each side by '2'.
r = 21

Simplifying
r = 21

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