2r-6+5=3-r+7

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Solution for 2r-6+5=3-r+7 equation:


Simplifying
2r + -6 + 5 = 3 + -1r + 7

Reorder the terms:
-6 + 5 + 2r = 3 + -1r + 7

Combine like terms: -6 + 5 = -1
-1 + 2r = 3 + -1r + 7

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

Combine like terms: 3 + 7 = 10
-1 + 2r = 10 + -1r

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 3r = 10 + 1

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

Combine like terms: 10 + 1 = 11
3r = 11

Divide each side by '3'.
r = 3.666666667

Simplifying
r = 3.666666667

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