(5a-8)-(a+6)=

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Solution for (5a-8)-(a+6)= equation:


Simplifying
(5a + -8) + -1(a + 6) = 0

Reorder the terms:
(-8 + 5a) + -1(a + 6) = 0

Remove parenthesis around (-8 + 5a)
-8 + 5a + -1(a + 6) = 0

Reorder the terms:
-8 + 5a + -1(6 + a) = 0
-8 + 5a + (6 * -1 + a * -1) = 0
-8 + 5a + (-6 + -1a) = 0

Reorder the terms:
-8 + -6 + 5a + -1a = 0

Combine like terms: -8 + -6 = -14
-14 + 5a + -1a = 0

Combine like terms: 5a + -1a = 4a
-14 + 4a = 0

Solving
-14 + 4a = 0

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 4a = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 4a = 0 + 14
4a = 0 + 14

Combine like terms: 0 + 14 = 14
4a = 14

Divide each side by '4'.
a = 3.5

Simplifying
a = 3.5

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