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

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


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

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

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

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

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

Solving
14 + 3a = -8 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
14 + 3a + -4a = -8 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
14 + -1a = -8 + 0
14 + -1a = -8

Add '-14' to each side of the equation.
14 + -14 + -1a = -8 + -14

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

Combine like terms: -8 + -14 = -22
-1a = -22

Divide each side by '-1'.
a = 22

Simplifying
a = 22

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