3(r-11)+2=12r+4(-r+6)

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Solution for 3(r-11)+2=12r+4(-r+6) equation:


Simplifying
3(r + -11) + 2 = 12r + 4(-1r + 6)

Reorder the terms:
3(-11 + r) + 2 = 12r + 4(-1r + 6)
(-11 * 3 + r * 3) + 2 = 12r + 4(-1r + 6)
(-33 + 3r) + 2 = 12r + 4(-1r + 6)

Reorder the terms:
-33 + 2 + 3r = 12r + 4(-1r + 6)

Combine like terms: -33 + 2 = -31
-31 + 3r = 12r + 4(-1r + 6)

Reorder the terms:
-31 + 3r = 12r + 4(6 + -1r)
-31 + 3r = 12r + (6 * 4 + -1r * 4)
-31 + 3r = 12r + (24 + -4r)

Reorder the terms:
-31 + 3r = 24 + 12r + -4r

Combine like terms: 12r + -4r = 8r
-31 + 3r = 24 + 8r

Solving
-31 + 3r = 24 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-31 + 3r + -8r = 24 + 8r + -8r

Combine like terms: 3r + -8r = -5r
-31 + -5r = 24 + 8r + -8r

Combine like terms: 8r + -8r = 0
-31 + -5r = 24 + 0
-31 + -5r = 24

Add '31' to each side of the equation.
-31 + 31 + -5r = 24 + 31

Combine like terms: -31 + 31 = 0
0 + -5r = 24 + 31
-5r = 24 + 31

Combine like terms: 24 + 31 = 55
-5r = 55

Divide each side by '-5'.
r = -11

Simplifying
r = -11

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