2(1a-6b)=8(3a-9b)

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Solution for 2(1a-6b)=8(3a-9b) equation:


Simplifying
2(1a + -6b) = 8(3a + -9b)
(1a * 2 + -6b * 2) = 8(3a + -9b)
(2a + -12b) = 8(3a + -9b)
2a + -12b = (3a * 8 + -9b * 8)
2a + -12b = (24a + -72b)

Solving
2a + -12b = 24a + -72b

Solving for variable 'a'.

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

Add '-24a' to each side of the equation.
2a + -24a + -12b = 24a + -24a + -72b

Combine like terms: 2a + -24a = -22a
-22a + -12b = 24a + -24a + -72b

Combine like terms: 24a + -24a = 0
-22a + -12b = 0 + -72b
-22a + -12b = -72b

Add '12b' to each side of the equation.
-22a + -12b + 12b = -72b + 12b

Combine like terms: -12b + 12b = 0
-22a + 0 = -72b + 12b
-22a = -72b + 12b

Combine like terms: -72b + 12b = -60b
-22a = -60b

Divide each side by '-22'.
a = 2.727272727b

Simplifying
a = 2.727272727b

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