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

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


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

Reorder the terms:
a = 24 + 3a + -5(3 + a)
a = 24 + 3a + (3 * -5 + a * -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 = -2a
a = 9 + -2a

Solving
a = 9 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
a + 2a = 9 + -2a + 2a

Combine like terms: a + 2a = 3a
3a = 9 + -2a + 2a

Combine like terms: -2a + 2a = 0
3a = 9 + 0
3a = 9

Divide each side by '3'.
a = 3

Simplifying
a = 3

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