3(r-8)=9(r+2)-17

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Solution for 3(r-8)=9(r+2)-17 equation: 


Simplifying
3(r + -8) = 9(r + 2) + -17

Reorder the terms:
3(-8 + r) = 9(r + 2) + -17
(-8 * 3 + r * 3) = 9(r + 2) + -17
(-24 + 3r) = 9(r + 2) + -17

Reorder the terms:
-24 + 3r = 9(2 + r) + -17
-24 + 3r = (2 * 9 + r * 9) + -17
-24 + 3r = (18 + 9r) + -17

Reorder the terms:
-24 + 3r = 18 + -17 + 9r

Combine like terms: 18 + -17 = 1
-24 + 3r = 1 + 9r

Solving
-24 + 3r = 1 + 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 + 3r + -9r = 1 + 9r + -9r

Combine like terms: 3r + -9r = -6r
-24 + -6r = 1 + 9r + -9r

Combine like terms: 9r + -9r = 0
-24 + -6r = 1 + 0
-24 + -6r = 1

Add '24' to each side of the equation.
-24 + 24 + -6r = 1 + 24

Combine like terms: -24 + 24 = 0
0 + -6r = 1 + 24
-6r = 1 + 24

Combine like terms: 1 + 24 = 25
-6r = 25

Divide each side by '-6'.
r = -4.166666667

Simplifying
r = -4.166666667

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