3a-8n=-8(3+4n)+3n

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Solution for 3a-8n=-8(3+4n)+3n equation: 


Simplifying
3a + -8n = -8(3 + 4n) + 3n
3a + -8n = (3 * -8 + 4n * -8) + 3n
3a + -8n = (-24 + -32n) + 3n

Combine like terms: -32n + 3n = -29n
3a + -8n = -24 + -29n

Solving
3a + -8n = -24 + -29n

Solving for variable 'a'.

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

Add '8n' to each side of the equation.
3a + -8n + 8n = -24 + -29n + 8n

Combine like terms: -8n + 8n = 0
3a + 0 = -24 + -29n + 8n
3a = -24 + -29n + 8n

Combine like terms: -29n + 8n = -21n
3a = -24 + -21n

Divide each side by '3'.
a = -8 + -7n

Simplifying
a = -8 + -7n

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