2(r+4)=3(r-6)

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Solution for 2(r+4)=3(r-6) equation: 


Simplifying
2(r + 4) = 3(r + -6)

Reorder the terms:
2(4 + r) = 3(r + -6)
(4 * 2 + r * 2) = 3(r + -6)
(8 + 2r) = 3(r + -6)

Reorder the terms:
8 + 2r = 3(-6 + r)
8 + 2r = (-6 * 3 + r * 3)
8 + 2r = (-18 + 3r)

Solving
8 + 2r = -18 + 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.
8 + 2r + -3r = -18 + 3r + -3r

Combine like terms: 2r + -3r = -1r
8 + -1r = -18 + 3r + -3r

Combine like terms: 3r + -3r = 0
8 + -1r = -18 + 0
8 + -1r = -18

Add '-8' to each side of the equation.
8 + -8 + -1r = -18 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = -18 + -8
-1r = -18 + -8

Combine like terms: -18 + -8 = -26
-1r = -26

Divide each side by '-1'.
r = 26

Simplifying
r = 26

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