2r-3=7r+1

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Solution for 2r-3=7r+1 equation:


Simplifying
2r + -3 = 7r + 1

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

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

Solving
-3 + 2r = 1 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-3 + 2r + -7r = 1 + 7r + -7r

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

Combine like terms: 7r + -7r = 0
-3 + -5r = 1 + 0
-3 + -5r = 1

Add '3' to each side of the equation.
-3 + 3 + -5r = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -5r = 1 + 3
-5r = 1 + 3

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

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

Simplifying
r = -0.8

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