4+3r-1=9r+17-4r

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Solution for 4+3r-1=9r+17-4r equation:


Simplifying
4 + 3r + -1 = 9r + 17 + -4r

Reorder the terms:
4 + -1 + 3r = 9r + 17 + -4r

Combine like terms: 4 + -1 = 3
3 + 3r = 9r + 17 + -4r

Reorder the terms:
3 + 3r = 17 + 9r + -4r

Combine like terms: 9r + -4r = 5r
3 + 3r = 17 + 5r

Solving
3 + 3r = 17 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
3 + 3r + -5r = 17 + 5r + -5r

Combine like terms: 3r + -5r = -2r
3 + -2r = 17 + 5r + -5r

Combine like terms: 5r + -5r = 0
3 + -2r = 17 + 0
3 + -2r = 17

Add '-3' to each side of the equation.
3 + -3 + -2r = 17 + -3

Combine like terms: 3 + -3 = 0
0 + -2r = 17 + -3
-2r = 17 + -3

Combine like terms: 17 + -3 = 14
-2r = 14

Divide each side by '-2'.
r = -7

Simplifying
r = -7

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