7(3a+2)=19-8a

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Solution for 7(3a+2)=19-8a equation:


Simplifying
7(3a + 2) = 19 + -8a

Reorder the terms:
7(2 + 3a) = 19 + -8a
(2 * 7 + 3a * 7) = 19 + -8a
(14 + 21a) = 19 + -8a

Solving
14 + 21a = 19 + -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.
14 + 21a + 8a = 19 + -8a + 8a

Combine like terms: 21a + 8a = 29a
14 + 29a = 19 + -8a + 8a

Combine like terms: -8a + 8a = 0
14 + 29a = 19 + 0
14 + 29a = 19

Add '-14' to each side of the equation.
14 + -14 + 29a = 19 + -14

Combine like terms: 14 + -14 = 0
0 + 29a = 19 + -14
29a = 19 + -14

Combine like terms: 19 + -14 = 5
29a = 5

Divide each side by '29'.
a = 0.1724137931

Simplifying
a = 0.1724137931

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