6(2r+16)=4(4r-12)

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Solution for 6(2r+16)=4(4r-12) equation:


Simplifying
6(2r + 16) = 4(4r + -12)

Reorder the terms:
6(16 + 2r) = 4(4r + -12)
(16 * 6 + 2r * 6) = 4(4r + -12)
(96 + 12r) = 4(4r + -12)

Reorder the terms:
96 + 12r = 4(-12 + 4r)
96 + 12r = (-12 * 4 + 4r * 4)
96 + 12r = (-48 + 16r)

Solving
96 + 12r = -48 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
96 + 12r + -16r = -48 + 16r + -16r

Combine like terms: 12r + -16r = -4r
96 + -4r = -48 + 16r + -16r

Combine like terms: 16r + -16r = 0
96 + -4r = -48 + 0
96 + -4r = -48

Add '-96' to each side of the equation.
96 + -96 + -4r = -48 + -96

Combine like terms: 96 + -96 = 0
0 + -4r = -48 + -96
-4r = -48 + -96

Combine like terms: -48 + -96 = -144
-4r = -144

Divide each side by '-4'.
r = 36

Simplifying
r = 36

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