3r+10-r=5r-4r+8-3

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Solution for 3r+10-r=5r-4r+8-3 equation: 


Simplifying
3r + 10 + -1r = 5r + -4r + 8 + -3

Reorder the terms:
10 + 3r + -1r = 5r + -4r + 8 + -3

Combine like terms: 3r + -1r = 2r
10 + 2r = 5r + -4r + 8 + -3

Reorder the terms:
10 + 2r = 8 + -3 + 5r + -4r

Combine like terms: 8 + -3 = 5
10 + 2r = 5 + 5r + -4r

Combine like terms: 5r + -4r = 1r
10 + 2r = 5 + 1r

Solving
10 + 2r = 5 + 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.
10 + 2r + -1r = 5 + 1r + -1r

Combine like terms: 2r + -1r = 1r
10 + 1r = 5 + 1r + -1r

Combine like terms: 1r + -1r = 0
10 + 1r = 5 + 0
10 + 1r = 5

Add '-10' to each side of the equation.
10 + -10 + 1r = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 1r = 5 + -10
1r = 5 + -10

Combine like terms: 5 + -10 = -5
1r = -5

Divide each side by '1'.
r = -5

Simplifying
r = -5

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