2(4r+6)=1.5(12r+18)

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Solution for 2(4r+6)=1.5(12r+18) equation:


Simplifying
2(4r + 6) = 1.5(12r + 18)

Reorder the terms:
2(6 + 4r) = 1.5(12r + 18)
(6 * 2 + 4r * 2) = 1.5(12r + 18)
(12 + 8r) = 1.5(12r + 18)

Reorder the terms:
12 + 8r = 1.5(18 + 12r)
12 + 8r = (18 * 1.5 + 12r * 1.5)
12 + 8r = (27 + 18r)

Solving
12 + 8r = 27 + 18r

Solving for variable 'r'.

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

Add '-18r' to each side of the equation.
12 + 8r + -18r = 27 + 18r + -18r

Combine like terms: 8r + -18r = -10r
12 + -10r = 27 + 18r + -18r

Combine like terms: 18r + -18r = 0
12 + -10r = 27 + 0
12 + -10r = 27

Add '-12' to each side of the equation.
12 + -12 + -10r = 27 + -12

Combine like terms: 12 + -12 = 0
0 + -10r = 27 + -12
-10r = 27 + -12

Combine like terms: 27 + -12 = 15
-10r = 15

Divide each side by '-10'.
r = -1.5

Simplifying
r = -1.5

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