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

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


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

Reorder the terms:
5a + 4(-8 + 3a) = 4 + -13a
5a + (-8 * 4 + 3a * 4) = 4 + -13a
5a + (-32 + 12a) = 4 + -13a

Reorder the terms:
-32 + 5a + 12a = 4 + -13a

Combine like terms: 5a + 12a = 17a
-32 + 17a = 4 + -13a

Solving
-32 + 17a = 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.
-32 + 17a + 13a = 4 + -13a + 13a

Combine like terms: 17a + 13a = 30a
-32 + 30a = 4 + -13a + 13a

Combine like terms: -13a + 13a = 0
-32 + 30a = 4 + 0
-32 + 30a = 4

Add '32' to each side of the equation.
-32 + 32 + 30a = 4 + 32

Combine like terms: -32 + 32 = 0
0 + 30a = 4 + 32
30a = 4 + 32

Combine like terms: 4 + 32 = 36
30a = 36

Divide each side by '30'.
a = 1.2

Simplifying
a = 1.2

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