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

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


Simplifying
(8a + 4) + -1(5a + 13) = 8

Reorder the terms:
(4 + 8a) + -1(5a + 13) = 8

Remove parenthesis around (4 + 8a)
4 + 8a + -1(5a + 13) = 8

Reorder the terms:
4 + 8a + -1(13 + 5a) = 8
4 + 8a + (13 * -1 + 5a * -1) = 8
4 + 8a + (-13 + -5a) = 8

Reorder the terms:
4 + -13 + 8a + -5a = 8

Combine like terms: 4 + -13 = -9
-9 + 8a + -5a = 8

Combine like terms: 8a + -5a = 3a
-9 + 3a = 8

Solving
-9 + 3a = 8

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 3a = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 3a = 8 + 9
3a = 8 + 9

Combine like terms: 8 + 9 = 17
3a = 17

Divide each side by '3'.
a = 5.666666667

Simplifying
a = 5.666666667

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