(3r+8)=(2r+12)

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Solution for (3r+8)=(2r+12) equation:


Simplifying
(3r + 8) = (2r + 12)

Reorder the terms:
(8 + 3r) = (2r + 12)

Remove parenthesis around (8 + 3r)
8 + 3r = (2r + 12)

Reorder the terms:
8 + 3r = (12 + 2r)

Remove parenthesis around (12 + 2r)
8 + 3r = 12 + 2r

Solving
8 + 3r = 12 + 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.
8 + 3r + -2r = 12 + 2r + -2r

Combine like terms: 3r + -2r = 1r
8 + 1r = 12 + 2r + -2r

Combine like terms: 2r + -2r = 0
8 + 1r = 12 + 0
8 + 1r = 12

Add '-8' to each side of the equation.
8 + -8 + 1r = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 1r = 12 + -8
1r = 12 + -8

Combine like terms: 12 + -8 = 4
1r = 4

Divide each side by '1'.
r = 4

Simplifying
r = 4

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