15+10a-5-a-1-6=6+a+2

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Solution for 15+10a-5-a-1-6=6+a+2 equation: 


Simplifying
15 + 10a + -5 + -1a + -1 + -6 = 6 + a + 2

Reorder the terms:
15 + -5 + -1 + -6 + 10a + -1a = 6 + a + 2

Combine like terms: 15 + -5 = 10
10 + -1 + -6 + 10a + -1a = 6 + a + 2

Combine like terms: 10 + -1 = 9
9 + -6 + 10a + -1a = 6 + a + 2

Combine like terms: 9 + -6 = 3
3 + 10a + -1a = 6 + a + 2

Combine like terms: 10a + -1a = 9a
3 + 9a = 6 + a + 2

Reorder the terms:
3 + 9a = 6 + 2 + a

Combine like terms: 6 + 2 = 8
3 + 9a = 8 + a

Solving
3 + 9a = 8 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
3 + 9a + -1a = 8 + a + -1a

Combine like terms: 9a + -1a = 8a
3 + 8a = 8 + a + -1a

Combine like terms: a + -1a = 0
3 + 8a = 8 + 0
3 + 8a = 8

Add '-3' to each side of the equation.
3 + -3 + 8a = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 8a = 8 + -3
8a = 8 + -3

Combine like terms: 8 + -3 = 5
8a = 5

Divide each side by '8'.
a = 0.625

Simplifying
a = 0.625

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