7r-3=2r-7

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Solution for 7r-3=2r-7 equation:


Simplifying
7r + -3 = 2r + -7

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

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

Solving
-3 + 7r = -7 + 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.
-3 + 7r + -2r = -7 + 2r + -2r

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

Combine like terms: 2r + -2r = 0
-3 + 5r = -7 + 0
-3 + 5r = -7

Add '3' to each side of the equation.
-3 + 3 + 5r = -7 + 3

Combine like terms: -3 + 3 = 0
0 + 5r = -7 + 3
5r = -7 + 3

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

Divide each side by '5'.
r = -0.8

Simplifying
r = -0.8

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