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

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


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

Reorder the terms:
2(-6 + 3r) = 4(r + 2)
(-6 * 2 + 3r * 2) = 4(r + 2)
(-12 + 6r) = 4(r + 2)

Reorder the terms:
-12 + 6r = 4(2 + r)
-12 + 6r = (2 * 4 + r * 4)
-12 + 6r = (8 + 4r)

Solving
-12 + 6r = 8 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-12 + 6r + -4r = 8 + 4r + -4r

Combine like terms: 6r + -4r = 2r
-12 + 2r = 8 + 4r + -4r

Combine like terms: 4r + -4r = 0
-12 + 2r = 8 + 0
-12 + 2r = 8

Add '12' to each side of the equation.
-12 + 12 + 2r = 8 + 12

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

Combine like terms: 8 + 12 = 20
2r = 20

Divide each side by '2'.
r = 10

Simplifying
r = 10

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