4r+1-r+7=5r+2-3r-3

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Solution for 4r+1-r+7=5r+2-3r-3 equation: 


Simplifying
4r + 1 + -1r + 7 = 5r + 2 + -3r + -3

Reorder the terms:
1 + 7 + 4r + -1r = 5r + 2 + -3r + -3

Combine like terms: 1 + 7 = 8
8 + 4r + -1r = 5r + 2 + -3r + -3

Combine like terms: 4r + -1r = 3r
8 + 3r = 5r + 2 + -3r + -3

Reorder the terms:
8 + 3r = 2 + -3 + 5r + -3r

Combine like terms: 2 + -3 = -1
8 + 3r = -1 + 5r + -3r

Combine like terms: 5r + -3r = 2r
8 + 3r = -1 + 2r

Solving
8 + 3r = -1 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
8 + 3r + -2r = -1 + 2r + -2r

Combine like terms: 3r + -2r = 1r
8 + 1r = -1 + 2r + -2r

Combine like terms: 2r + -2r = 0
8 + 1r = -1 + 0
8 + 1r = -1

Add '-8' to each side of the equation.
8 + -8 + 1r = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 1r = -1 + -8
1r = -1 + -8

Combine like terms: -1 + -8 = -9
1r = -9

Divide each side by '1'.
r = -9

Simplifying
r = -9

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