(3a+14)=(5a-1)+(4a-8)

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Solution for (3a+14)=(5a-1)+(4a-8) equation:


Simplifying
(3a + 14) = (5a + -1) + (4a + -8)

Reorder the terms:
(14 + 3a) = (5a + -1) + (4a + -8)

Remove parenthesis around (14 + 3a)
14 + 3a = (5a + -1) + (4a + -8)

Reorder the terms:
14 + 3a = (-1 + 5a) + (4a + -8)

Remove parenthesis around (-1 + 5a)
14 + 3a = -1 + 5a + (4a + -8)

Reorder the terms:
14 + 3a = -1 + 5a + (-8 + 4a)

Remove parenthesis around (-8 + 4a)
14 + 3a = -1 + 5a + -8 + 4a

Reorder the terms:
14 + 3a = -1 + -8 + 5a + 4a

Combine like terms: -1 + -8 = -9
14 + 3a = -9 + 5a + 4a

Combine like terms: 5a + 4a = 9a
14 + 3a = -9 + 9a

Solving
14 + 3a = -9 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
14 + 3a + -9a = -9 + 9a + -9a

Combine like terms: 3a + -9a = -6a
14 + -6a = -9 + 9a + -9a

Combine like terms: 9a + -9a = 0
14 + -6a = -9 + 0
14 + -6a = -9

Add '-14' to each side of the equation.
14 + -14 + -6a = -9 + -14

Combine like terms: 14 + -14 = 0
0 + -6a = -9 + -14
-6a = -9 + -14

Combine like terms: -9 + -14 = -23
-6a = -23

Divide each side by '-6'.
a = 3.833333333

Simplifying
a = 3.833333333

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