5a-8=8(a+1)+16a+4

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Solution for 5a-8=8(a+1)+16a+4 equation:


Simplifying
5a + -8 = 8(a + 1) + 16a + 4

Reorder the terms:
-8 + 5a = 8(a + 1) + 16a + 4

Reorder the terms:
-8 + 5a = 8(1 + a) + 16a + 4
-8 + 5a = (1 * 8 + a * 8) + 16a + 4
-8 + 5a = (8 + 8a) + 16a + 4

Reorder the terms:
-8 + 5a = 8 + 4 + 8a + 16a

Combine like terms: 8 + 4 = 12
-8 + 5a = 12 + 8a + 16a

Combine like terms: 8a + 16a = 24a
-8 + 5a = 12 + 24a

Solving
-8 + 5a = 12 + 24a

Solving for variable 'a'.

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

Add '-24a' to each side of the equation.
-8 + 5a + -24a = 12 + 24a + -24a

Combine like terms: 5a + -24a = -19a
-8 + -19a = 12 + 24a + -24a

Combine like terms: 24a + -24a = 0
-8 + -19a = 12 + 0
-8 + -19a = 12

Add '8' to each side of the equation.
-8 + 8 + -19a = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -19a = 12 + 8
-19a = 12 + 8

Combine like terms: 12 + 8 = 20
-19a = 20

Divide each side by '-19'.
a = -1.052631579

Simplifying
a = -1.052631579

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