14+9-2r=-17r+2(9r-8)

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Solution for 14+9-2r=-17r+2(9r-8) equation: 


Simplifying
14 + 9 + -2r = -17r + 2(9r + -8)

Combine like terms: 14 + 9 = 23
23 + -2r = -17r + 2(9r + -8)

Reorder the terms:
23 + -2r = -17r + 2(-8 + 9r)
23 + -2r = -17r + (-8 * 2 + 9r * 2)
23 + -2r = -17r + (-16 + 18r)

Reorder the terms:
23 + -2r = -16 + -17r + 18r

Combine like terms: -17r + 18r = 1r
23 + -2r = -16 + 1r

Solving
23 + -2r = -16 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
23 + -2r + -1r = -16 + 1r + -1r

Combine like terms: -2r + -1r = -3r
23 + -3r = -16 + 1r + -1r

Combine like terms: 1r + -1r = 0
23 + -3r = -16 + 0
23 + -3r = -16

Add '-23' to each side of the equation.
23 + -23 + -3r = -16 + -23

Combine like terms: 23 + -23 = 0
0 + -3r = -16 + -23
-3r = -16 + -23

Combine like terms: -16 + -23 = -39
-3r = -39

Divide each side by '-3'.
r = 13

Simplifying
r = 13

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