9a-3(a+8)=14+5a-34

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Solution for 9a-3(a+8)=14+5a-34 equation:


Simplifying
9a + -3(a + 8) = 14 + 5a + -34

Reorder the terms:
9a + -3(8 + a) = 14 + 5a + -34
9a + (8 * -3 + a * -3) = 14 + 5a + -34
9a + (-24 + -3a) = 14 + 5a + -34

Reorder the terms:
-24 + 9a + -3a = 14 + 5a + -34

Combine like terms: 9a + -3a = 6a
-24 + 6a = 14 + 5a + -34

Reorder the terms:
-24 + 6a = 14 + -34 + 5a

Combine like terms: 14 + -34 = -20
-24 + 6a = -20 + 5a

Solving
-24 + 6a = -20 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-24 + 6a + -5a = -20 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-24 + 1a = -20 + 5a + -5a

Combine like terms: 5a + -5a = 0
-24 + 1a = -20 + 0
-24 + 1a = -20

Add '24' to each side of the equation.
-24 + 24 + 1a = -20 + 24

Combine like terms: -24 + 24 = 0
0 + 1a = -20 + 24
1a = -20 + 24

Combine like terms: -20 + 24 = 4
1a = 4

Divide each side by '1'.
a = 4

Simplifying
a = 4

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