8(2r-3)-r=3(r+2)

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Solution for 8(2r-3)-r=3(r+2) equation:


Simplifying
8(2r + -3) + -1r = 3(r + 2)

Reorder the terms:
8(-3 + 2r) + -1r = 3(r + 2)
(-3 * 8 + 2r * 8) + -1r = 3(r + 2)
(-24 + 16r) + -1r = 3(r + 2)

Combine like terms: 16r + -1r = 15r
-24 + 15r = 3(r + 2)

Reorder the terms:
-24 + 15r = 3(2 + r)
-24 + 15r = (2 * 3 + r * 3)
-24 + 15r = (6 + 3r)

Solving
-24 + 15r = 6 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-24 + 15r + -3r = 6 + 3r + -3r

Combine like terms: 15r + -3r = 12r
-24 + 12r = 6 + 3r + -3r

Combine like terms: 3r + -3r = 0
-24 + 12r = 6 + 0
-24 + 12r = 6

Add '24' to each side of the equation.
-24 + 24 + 12r = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 12r = 6 + 24
12r = 6 + 24

Combine like terms: 6 + 24 = 30
12r = 30

Divide each side by '12'.
r = 2.5

Simplifying
r = 2.5

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