17+4r=-5(5-4r)-2r

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Solution for 17+4r=-5(5-4r)-2r equation: 


Simplifying
17 + 4r = -5(5 + -4r) + -2r
17 + 4r = (5 * -5 + -4r * -5) + -2r
17 + 4r = (-25 + 20r) + -2r

Combine like terms: 20r + -2r = 18r
17 + 4r = -25 + 18r

Solving
17 + 4r = -25 + 18r

Solving for variable 'r'.

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

Add '-18r' to each side of the equation.
17 + 4r + -18r = -25 + 18r + -18r

Combine like terms: 4r + -18r = -14r
17 + -14r = -25 + 18r + -18r

Combine like terms: 18r + -18r = 0
17 + -14r = -25 + 0
17 + -14r = -25

Add '-17' to each side of the equation.
17 + -17 + -14r = -25 + -17

Combine like terms: 17 + -17 = 0
0 + -14r = -25 + -17
-14r = -25 + -17

Combine like terms: -25 + -17 = -42
-14r = -42

Divide each side by '-14'.
r = 3

Simplifying
r = 3

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