7-3r=r-8+r

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Solution for 7-3r=r-8+r equation:


Simplifying
7 + -3r = r + -8 + r

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

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

Solving
7 + -3r = -8 + 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.
7 + -3r + -2r = -8 + 2r + -2r

Combine like terms: -3r + -2r = -5r
7 + -5r = -8 + 2r + -2r

Combine like terms: 2r + -2r = 0
7 + -5r = -8 + 0
7 + -5r = -8

Add '-7' to each side of the equation.
7 + -7 + -5r = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5r = -8 + -7
-5r = -8 + -7

Combine like terms: -8 + -7 = -15
-5r = -15

Divide each side by '-5'.
r = 3

Simplifying
r = 3

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