2(4r+6)=.666666667(12r+18)

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Solution for 2(4r+6)=.666666667(12r+18) equation:


Simplifying
2(4r + 6) = 0.666666667(12r + 18)

Reorder the terms:
2(6 + 4r) = 0.666666667(12r + 18)
(6 * 2 + 4r * 2) = 0.666666667(12r + 18)
(12 + 8r) = 0.666666667(12r + 18)

Reorder the terms:
12 + 8r = 0.666666667(18 + 12r)
12 + 8r = (18 * 0.666666667 + 12r * 0.666666667)
12 + 8r = (12.00000001 + 8.000000004r)

Solving
12 + 8r = 12.00000001 + 8.000000004r

Solving for variable 'r'.

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

Add '-8.000000004r' to each side of the equation.
12 + 8r + -8.000000004r = 12.00000001 + 8.000000004r + -8.000000004r

Combine like terms: 8r + -8.000000004r = -0.000000004r
12 + -0.000000004r = 12.00000001 + 8.000000004r + -8.000000004r

Combine like terms: 8.000000004r + -8.000000004r = 0.000000000
12 + -0.000000004r = 12.00000001 + 0.000000000
12 + -0.000000004r = 12.00000001

Add '-12' to each side of the equation.
12 + -12 + -0.000000004r = 12.00000001 + -12

Combine like terms: 12 + -12 = 0
0 + -0.000000004r = 12.00000001 + -12
-0.000000004r = 12.00000001 + -12

Combine like terms: 12.00000001 + -12 = 0.00000001
-0.000000004r = 0.00000001

Divide each side by '-0.000000004'.
r = -2.5

Simplifying
r = -2.5

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