15+a+1+7a=6+2a-8

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Solution for 15+a+1+7a=6+2a-8 equation:


Simplifying
15 + a + 1 + 7a = 6 + 2a + -8

Reorder the terms:
15 + 1 + a + 7a = 6 + 2a + -8

Combine like terms: 15 + 1 = 16
16 + a + 7a = 6 + 2a + -8

Combine like terms: a + 7a = 8a
16 + 8a = 6 + 2a + -8

Reorder the terms:
16 + 8a = 6 + -8 + 2a

Combine like terms: 6 + -8 = -2
16 + 8a = -2 + 2a

Solving
16 + 8a = -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.
16 + 8a + -2a = -2 + 2a + -2a

Combine like terms: 8a + -2a = 6a
16 + 6a = -2 + 2a + -2a

Combine like terms: 2a + -2a = 0
16 + 6a = -2 + 0
16 + 6a = -2

Add '-16' to each side of the equation.
16 + -16 + 6a = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 6a = -2 + -16
6a = -2 + -16

Combine like terms: -2 + -16 = -18
6a = -18

Divide each side by '6'.
a = -3

Simplifying
a = -3

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