6(3a+4)=8a+14

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Solution for 6(3a+4)=8a+14 equation:


Simplifying
6(3a + 4) = 8a + 14

Reorder the terms:
6(4 + 3a) = 8a + 14
(4 * 6 + 3a * 6) = 8a + 14
(24 + 18a) = 8a + 14

Reorder the terms:
24 + 18a = 14 + 8a

Solving
24 + 18a = 14 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
24 + 18a + -8a = 14 + 8a + -8a

Combine like terms: 18a + -8a = 10a
24 + 10a = 14 + 8a + -8a

Combine like terms: 8a + -8a = 0
24 + 10a = 14 + 0
24 + 10a = 14

Add '-24' to each side of the equation.
24 + -24 + 10a = 14 + -24

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

Combine like terms: 14 + -24 = -10
10a = -10

Divide each side by '10'.
a = -1

Simplifying
a = -1

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