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 = 39
a = 39 + 3a + -5a

Combine like terms: 3a + -5a = -2a
a = 39 + -2a

Solving
a = 39 + -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 = 39 + -2a + 2a

Combine like terms: a + 2a = 3a
3a = 39 + -2a + 2a

Combine like terms: -2a + 2a = 0
3a = 39 + 0
3a = 39

Divide each side by '3'.
a = 13

Simplifying
a = 13

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