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

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


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

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

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

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

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

Solving
-4 + 2r = 10 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-4 + 2r + r = 10 + -1r + r

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

Combine like terms: -1r + r = 0
-4 + 3r = 10 + 0
-4 + 3r = 10

Add '4' to each side of the equation.
-4 + 4 + 3r = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 3r = 10 + 4
3r = 10 + 4

Combine like terms: 10 + 4 = 14
3r = 14

Divide each side by '3'.
r = 4.666666667

Simplifying
r = 4.666666667

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