2(4r+6)=.66(12r+18)

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Solution for 2(4r+6)=.66(12r+18) equation:


Simplifying
2(4r + 6) = 0.66(12r + 18)

Reorder the terms:
2(6 + 4r) = 0.66(12r + 18)
(6 * 2 + 4r * 2) = 0.66(12r + 18)
(12 + 8r) = 0.66(12r + 18)

Reorder the terms:
12 + 8r = 0.66(18 + 12r)
12 + 8r = (18 * 0.66 + 12r * 0.66)
12 + 8r = (11.88 + 7.92r)

Solving
12 + 8r = 11.88 + 7.92r

Solving for variable 'r'.

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

Add '-7.92r' to each side of the equation.
12 + 8r + -7.92r = 11.88 + 7.92r + -7.92r

Combine like terms: 8r + -7.92r = 0.08r
12 + 0.08r = 11.88 + 7.92r + -7.92r

Combine like terms: 7.92r + -7.92r = 0.00
12 + 0.08r = 11.88 + 0.00
12 + 0.08r = 11.88

Add '-12' to each side of the equation.
12 + -12 + 0.08r = 11.88 + -12

Combine like terms: 12 + -12 = 0
0 + 0.08r = 11.88 + -12
0.08r = 11.88 + -12

Combine like terms: 11.88 + -12 = -0.12
0.08r = -0.12

Divide each side by '0.08'.
r = -1.5

Simplifying
r = -1.5

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