13r-28=9r+32-2(r+6)

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Solution for 13r-28=9r+32-2(r+6) equation:


Simplifying
13r + -28 = 9r + 32 + -2(r + 6)

Reorder the terms:
-28 + 13r = 9r + 32 + -2(r + 6)

Reorder the terms:
-28 + 13r = 9r + 32 + -2(6 + r)
-28 + 13r = 9r + 32 + (6 * -2 + r * -2)
-28 + 13r = 9r + 32 + (-12 + -2r)

Reorder the terms:
-28 + 13r = 32 + -12 + 9r + -2r

Combine like terms: 32 + -12 = 20
-28 + 13r = 20 + 9r + -2r

Combine like terms: 9r + -2r = 7r
-28 + 13r = 20 + 7r

Solving
-28 + 13r = 20 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-28 + 13r + -7r = 20 + 7r + -7r

Combine like terms: 13r + -7r = 6r
-28 + 6r = 20 + 7r + -7r

Combine like terms: 7r + -7r = 0
-28 + 6r = 20 + 0
-28 + 6r = 20

Add '28' to each side of the equation.
-28 + 28 + 6r = 20 + 28

Combine like terms: -28 + 28 = 0
0 + 6r = 20 + 28
6r = 20 + 28

Combine like terms: 20 + 28 = 48
6r = 48

Divide each side by '6'.
r = 8

Simplifying
r = 8

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