(2r+4)*4=6*(4r-8)

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Solution for (2r+4)*4=6*(4r-8) equation:


Simplifying
(2r + 4) * 4 = 6(4r + -8)

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

Reorder the terms for easier multiplication:
4(4 + 2r) = 6(4r + -8)
(4 * 4 + 2r * 4) = 6(4r + -8)
(16 + 8r) = 6(4r + -8)

Reorder the terms:
16 + 8r = 6(-8 + 4r)
16 + 8r = (-8 * 6 + 4r * 6)
16 + 8r = (-48 + 24r)

Solving
16 + 8r = -48 + 24r

Solving for variable 'r'.

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

Add '-24r' to each side of the equation.
16 + 8r + -24r = -48 + 24r + -24r

Combine like terms: 8r + -24r = -16r
16 + -16r = -48 + 24r + -24r

Combine like terms: 24r + -24r = 0
16 + -16r = -48 + 0
16 + -16r = -48

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

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

Combine like terms: -48 + -16 = -64
-16r = -64

Divide each side by '-16'.
r = 4

Simplifying
r = 4

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