8a+(5a+1)=8-2(a+3)

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Solution for 8a+(5a+1)=8-2(a+3) equation: 


Simplifying
8a + (5a + 1) = 8 + -2(a + 3)

Reorder the terms:
8a + (1 + 5a) = 8 + -2(a + 3)

Remove parenthesis around (1 + 5a)
8a + 1 + 5a = 8 + -2(a + 3)

Reorder the terms:
1 + 8a + 5a = 8 + -2(a + 3)

Combine like terms: 8a + 5a = 13a
1 + 13a = 8 + -2(a + 3)

Reorder the terms:
1 + 13a = 8 + -2(3 + a)
1 + 13a = 8 + (3 * -2 + a * -2)
1 + 13a = 8 + (-6 + -2a)

Combine like terms: 8 + -6 = 2
1 + 13a = 2 + -2a

Solving
1 + 13a = 2 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
1 + 13a + 2a = 2 + -2a + 2a

Combine like terms: 13a + 2a = 15a
1 + 15a = 2 + -2a + 2a

Combine like terms: -2a + 2a = 0
1 + 15a = 2 + 0
1 + 15a = 2

Add '-1' to each side of the equation.
1 + -1 + 15a = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 15a = 2 + -1
15a = 2 + -1

Combine like terms: 2 + -1 = 1
15a = 1

Divide each side by '15'.
a = 0.06666666667

Simplifying
a = 0.06666666667

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