# 7r-3r+5=11+10-4r

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## Solution for 7r-3r+5=11+10-4r equation:

Simplifying
7r + -3r + 5 = 11 + 10 + -4r
Reorder the terms:
5 + 7r + -3r = 11 + 10 + -4r
Combine like terms: 7r + -3r = 4r
5 + 4r = 11 + 10 + -4r
Combine like terms: 11 + 10 = 21
5 + 4r = 21 + -4r
Solving
5 + 4r = 21 + -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.
5 + 4r + 4r = 21 + -4r + 4r
Combine like terms: 4r + 4r = 8r
5 + 8r = 21 + -4r + 4r
Combine like terms: -4r + 4r = 0
5 + 8r = 21 + 0
5 + 8r = 21
Add '-5' to each side of the equation.
5 + -5 + 8r = 21 + -5
Combine like terms: 5 + -5 = 0
0 + 8r = 21 + -5
8r = 21 + -5
Combine like terms: 21 + -5 = 16
8r = 16
Divide each side by '8'.
r = 2
Simplifying
r = 2`