8r-9+4-3r=2(5+r)

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Solution for 8r-9+4-3r=2(5+r) equation:


Simplifying
8r + -9 + 4 + -3r = 2(5 + r)

Reorder the terms:
-9 + 4 + 8r + -3r = 2(5 + r)

Combine like terms: -9 + 4 = -5
-5 + 8r + -3r = 2(5 + r)

Combine like terms: 8r + -3r = 5r
-5 + 5r = 2(5 + r)
-5 + 5r = (5 * 2 + r * 2)
-5 + 5r = (10 + 2r)

Solving
-5 + 5r = 10 + 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.
-5 + 5r + -2r = 10 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-5 + 3r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
-5 + 3r = 10 + 0
-5 + 3r = 10

Add '5' to each side of the equation.
-5 + 5 + 3r = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3r = 10 + 5
3r = 10 + 5

Combine like terms: 10 + 5 = 15
3r = 15

Divide each side by '3'.
r = 5

Simplifying
r = 5

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