17=3(r-5)+8

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Solution for 17=3(r-5)+8 equation: 


Simplifying
17 = 3(r + -5) + 8

Reorder the terms:
17 = 3(-5 + r) + 8
17 = (-5 * 3 + r * 3) + 8
17 = (-15 + 3r) + 8

Reorder the terms:
17 = -15 + 8 + 3r

Combine like terms: -15 + 8 = -7
17 = -7 + 3r

Solving
17 = -7 + 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.
17 + -3r = -7 + 3r + -3r

Combine like terms: 3r + -3r = 0
17 + -3r = -7 + 0
17 + -3r = -7

Add '-17' to each side of the equation.
17 + -17 + -3r = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -3r = -7 + -17
-3r = -7 + -17

Combine like terms: -7 + -17 = -24
-3r = -24

Divide each side by '-3'.
r = 8

Simplifying
r = 8

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