5a+3(3a-8)=4+13a

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Solution for 5a+3(3a-8)=4+13a equation:


Simplifying
5a + 3(3a + -8) = 4 + 13a

Reorder the terms:
5a + 3(-8 + 3a) = 4 + 13a
5a + (-8 * 3 + 3a * 3) = 4 + 13a
5a + (-24 + 9a) = 4 + 13a

Reorder the terms:
-24 + 5a + 9a = 4 + 13a

Combine like terms: 5a + 9a = 14a
-24 + 14a = 4 + 13a

Solving
-24 + 14a = 4 + 13a

Solving for variable 'a'.

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

Add '-13a' to each side of the equation.
-24 + 14a + -13a = 4 + 13a + -13a

Combine like terms: 14a + -13a = 1a
-24 + 1a = 4 + 13a + -13a

Combine like terms: 13a + -13a = 0
-24 + 1a = 4 + 0
-24 + 1a = 4

Add '24' to each side of the equation.
-24 + 24 + 1a = 4 + 24

Combine like terms: -24 + 24 = 0
0 + 1a = 4 + 24
1a = 4 + 24

Combine like terms: 4 + 24 = 28
1a = 28

Divide each side by '1'.
a = 28

Simplifying
a = 28

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