8(3a+60)=9(2a-4)

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Solution for 8(3a+60)=9(2a-4) equation: 


Simplifying
8(3a + 60) = 9(2a + -4)

Reorder the terms:
8(60 + 3a) = 9(2a + -4)
(60 * 8 + 3a * 8) = 9(2a + -4)
(480 + 24a) = 9(2a + -4)

Reorder the terms:
480 + 24a = 9(-4 + 2a)
480 + 24a = (-4 * 9 + 2a * 9)
480 + 24a = (-36 + 18a)

Solving
480 + 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.
480 + 24a + -18a = -36 + 18a + -18a

Combine like terms: 24a + -18a = 6a
480 + 6a = -36 + 18a + -18a

Combine like terms: 18a + -18a = 0
480 + 6a = -36 + 0
480 + 6a = -36

Add '-480' to each side of the equation.
480 + -480 + 6a = -36 + -480

Combine like terms: 480 + -480 = 0
0 + 6a = -36 + -480
6a = -36 + -480

Combine like terms: -36 + -480 = -516
6a = -516

Divide each side by '6'.
a = -86

Simplifying
a = -86

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