8(3a+6)=9(2a-4)

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Solution for 8(3a+6)=9(2a-4) equation:


Simplifying
8(3a + 6) = 9(2a + -4)

Reorder the terms:
8(6 + 3a) = 9(2a + -4)
(6 * 8 + 3a * 8) = 9(2a + -4)
(48 + 24a) = 9(2a + -4)

Reorder the terms:
48 + 24a = 9(-4 + 2a)
48 + 24a = (-4 * 9 + 2a * 9)
48 + 24a = (-36 + 18a)

Solving
48 + 24a = -36 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
48 + 24a + -18a = -36 + 18a + -18a

Combine like terms: 24a + -18a = 6a
48 + 6a = -36 + 18a + -18a

Combine like terms: 18a + -18a = 0
48 + 6a = -36 + 0
48 + 6a = -36

Add '-48' to each side of the equation.
48 + -48 + 6a = -36 + -48

Combine like terms: 48 + -48 = 0
0 + 6a = -36 + -48
6a = -36 + -48

Combine like terms: -36 + -48 = -84
6a = -84

Divide each side by '6'.
a = -14

Simplifying
a = -14

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