(4(a-6))+5a+(3a+14)+10=

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Solution for (4(a-6))+5a+(3a+14)+10= equation:


Simplifying
(4(a + -6)) + 5a + (3a + 14) + 10 = 0

Reorder the terms:
(4(-6 + a)) + 5a + (3a + 14) + 10 = 0
((-6 * 4 + a * 4)) + 5a + (3a + 14) + 10 = 0
((-24 + 4a)) + 5a + (3a + 14) + 10 = 0
(-24 + 4a) + 5a + (3a + 14) + 10 = 0

Remove parenthesis around (-24 + 4a)
-24 + 4a + 5a + (3a + 14) + 10 = 0

Reorder the terms:
-24 + 4a + 5a + (14 + 3a) + 10 = 0

Remove parenthesis around (14 + 3a)
-24 + 4a + 5a + 14 + 3a + 10 = 0

Reorder the terms:
-24 + 14 + 10 + 4a + 5a + 3a = 0

Combine like terms: -24 + 14 = -10
-10 + 10 + 4a + 5a + 3a = 0

Combine like terms: -10 + 10 = 0
0 + 4a + 5a + 3a = 0
4a + 5a + 3a = 0

Combine like terms: 4a + 5a = 9a
9a + 3a = 0

Combine like terms: 9a + 3a = 12a
12a = 0

Solving
12a = 0

Solving for variable 'a'.

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

Divide each side by '12'.
a = 0

Simplifying
a = 0

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