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

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


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

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

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

Reorder the terms:
-24 + 15r = 3(-2 + 3r)
-24 + 15r = (-2 * 3 + 3r * 3)
-24 + 15r = (-6 + 9r)

Solving
-24 + 15r = -6 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
-24 + 15r + -9r = -6 + 9r + -9r

Combine like terms: 15r + -9r = 6r
-24 + 6r = -6 + 9r + -9r

Combine like terms: 9r + -9r = 0
-24 + 6r = -6 + 0
-24 + 6r = -6

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

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

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

Divide each side by '6'.
r = 3

Simplifying
r = 3

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