3(r-8)-5=9(r+2)+1

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Solution for 3(r-8)-5=9(r+2)+1 equation: 


Simplifying
3(r + -8) + -5 = 9(r + 2) + 1

Reorder the terms:
3(-8 + r) + -5 = 9(r + 2) + 1
(-8 * 3 + r * 3) + -5 = 9(r + 2) + 1
(-24 + 3r) + -5 = 9(r + 2) + 1

Reorder the terms:
-24 + -5 + 3r = 9(r + 2) + 1

Combine like terms: -24 + -5 = -29
-29 + 3r = 9(r + 2) + 1

Reorder the terms:
-29 + 3r = 9(2 + r) + 1
-29 + 3r = (2 * 9 + r * 9) + 1
-29 + 3r = (18 + 9r) + 1

Reorder the terms:
-29 + 3r = 18 + 1 + 9r

Combine like terms: 18 + 1 = 19
-29 + 3r = 19 + 9r

Solving
-29 + 3r = 19 + 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.
-29 + 3r + -9r = 19 + 9r + -9r

Combine like terms: 3r + -9r = -6r
-29 + -6r = 19 + 9r + -9r

Combine like terms: 9r + -9r = 0
-29 + -6r = 19 + 0
-29 + -6r = 19

Add '29' to each side of the equation.
-29 + 29 + -6r = 19 + 29

Combine like terms: -29 + 29 = 0
0 + -6r = 19 + 29
-6r = 19 + 29

Combine like terms: 19 + 29 = 48
-6r = 48

Divide each side by '-6'.
r = -8

Simplifying
r = -8

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