6(3r-8)=24-6r

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Solution for 6(3r-8)=24-6r equation:


Simplifying
6(3r + -8) = 24 + -6r

Reorder the terms:
6(-8 + 3r) = 24 + -6r
(-8 * 6 + 3r * 6) = 24 + -6r
(-48 + 18r) = 24 + -6r

Solving
-48 + 18r = 24 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
-48 + 18r + 6r = 24 + -6r + 6r

Combine like terms: 18r + 6r = 24r
-48 + 24r = 24 + -6r + 6r

Combine like terms: -6r + 6r = 0
-48 + 24r = 24 + 0
-48 + 24r = 24

Add '48' to each side of the equation.
-48 + 48 + 24r = 24 + 48

Combine like terms: -48 + 48 = 0
0 + 24r = 24 + 48
24r = 24 + 48

Combine like terms: 24 + 48 = 72
24r = 72

Divide each side by '24'.
r = 3

Simplifying
r = 3

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