4r+7-6r+1=7r+9-3r-7

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Solution for 4r+7-6r+1=7r+9-3r-7 equation:


Simplifying
4r + 7 + -6r + 1 = 7r + 9 + -3r + -7

Reorder the terms:
7 + 1 + 4r + -6r = 7r + 9 + -3r + -7

Combine like terms: 7 + 1 = 8
8 + 4r + -6r = 7r + 9 + -3r + -7

Combine like terms: 4r + -6r = -2r
8 + -2r = 7r + 9 + -3r + -7

Reorder the terms:
8 + -2r = 9 + -7 + 7r + -3r

Combine like terms: 9 + -7 = 2
8 + -2r = 2 + 7r + -3r

Combine like terms: 7r + -3r = 4r
8 + -2r = 2 + 4r

Solving
8 + -2r = 2 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
8 + -2r + -4r = 2 + 4r + -4r

Combine like terms: -2r + -4r = -6r
8 + -6r = 2 + 4r + -4r

Combine like terms: 4r + -4r = 0
8 + -6r = 2 + 0
8 + -6r = 2

Add '-8' to each side of the equation.
8 + -8 + -6r = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -6r = 2 + -8
-6r = 2 + -8

Combine like terms: 2 + -8 = -6
-6r = -6

Divide each side by '-6'.
r = 1

Simplifying
r = 1

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