1-5r+2=-4r+7+r

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Solution for 1-5r+2=-4r+7+r equation: 


Simplifying
1 + -5r + 2 = -4r + 7 + r

Reorder the terms:
1 + 2 + -5r = -4r + 7 + r

Combine like terms: 1 + 2 = 3
3 + -5r = -4r + 7 + r

Reorder the terms:
3 + -5r = 7 + -4r + r

Combine like terms: -4r + r = -3r
3 + -5r = 7 + -3r

Solving
3 + -5r = 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.
3 + -5r + 3r = 7 + -3r + 3r

Combine like terms: -5r + 3r = -2r
3 + -2r = 7 + -3r + 3r

Combine like terms: -3r + 3r = 0
3 + -2r = 7 + 0
3 + -2r = 7

Add '-3' to each side of the equation.
3 + -3 + -2r = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -2r = 7 + -3
-2r = 7 + -3

Combine like terms: 7 + -3 = 4
-2r = 4

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

Simplifying
r = -2

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