7r-6=3r+5

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


Simplifying
7r + -6 = 3r + 5

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

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

Solving
-6 + 7r = 5 + 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.
-6 + 7r + -3r = 5 + 3r + -3r

Combine like terms: 7r + -3r = 4r
-6 + 4r = 5 + 3r + -3r

Combine like terms: 3r + -3r = 0
-6 + 4r = 5 + 0
-6 + 4r = 5

Add '6' to each side of the equation.
-6 + 6 + 4r = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 4r = 5 + 6
4r = 5 + 6

Combine like terms: 5 + 6 = 11
4r = 11

Divide each side by '4'.
r = 2.75

Simplifying
r = 2.75

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