a=3(8+a)-5(3-a)

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Solution for a=3(8+a)-5(3-a) equation: 


Simplifying
a = 3(8 + a) + -5(3 + -1a)
a = (8 * 3 + a * 3) + -5(3 + -1a)
a = (24 + 3a) + -5(3 + -1a)
a = 24 + 3a + (3 * -5 + -1a * -5)
a = 24 + 3a + (-15 + 5a)

Reorder the terms:
a = 24 + -15 + 3a + 5a

Combine like terms: 24 + -15 = 9
a = 9 + 3a + 5a

Combine like terms: 3a + 5a = 8a
a = 9 + 8a

Solving
a = 9 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
a + -8a = 9 + 8a + -8a

Combine like terms: a + -8a = -7a
-7a = 9 + 8a + -8a

Combine like terms: 8a + -8a = 0
-7a = 9 + 0
-7a = 9

Divide each side by '-7'.
a = -1.285714286

Simplifying
a = -1.285714286

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