7r-4r-6+5=17-3r-6

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Solution for 7r-4r-6+5=17-3r-6 equation:


Simplifying
7r + -4r + -6 + 5 = 17 + -3r + -6

Reorder the terms:
-6 + 5 + 7r + -4r = 17 + -3r + -6

Combine like terms: -6 + 5 = -1
-1 + 7r + -4r = 17 + -3r + -6

Combine like terms: 7r + -4r = 3r
-1 + 3r = 17 + -3r + -6

Reorder the terms:
-1 + 3r = 17 + -6 + -3r

Combine like terms: 17 + -6 = 11
-1 + 3r = 11 + -3r

Solving
-1 + 3r = 11 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-1 + 3r + 3r = 11 + -3r + 3r

Combine like terms: 3r + 3r = 6r
-1 + 6r = 11 + -3r + 3r

Combine like terms: -3r + 3r = 0
-1 + 6r = 11 + 0
-1 + 6r = 11

Add '1' to each side of the equation.
-1 + 1 + 6r = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 6r = 11 + 1
6r = 11 + 1

Combine like terms: 11 + 1 = 12
6r = 12

Divide each side by '6'.
r = 2

Simplifying
r = 2

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