a+8-5a+6+2a+9+4a-a=4a+7-2a+8-2a-10

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Solution for a+8-5a+6+2a+9+4a-a=4a+7-2a+8-2a-10 equation:


Simplifying
a + 8 + -5a + 6 + 2a + 9 + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Reorder the terms:
8 + 6 + 9 + a + -5a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Combine like terms: 8 + 6 = 14
14 + 9 + a + -5a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Combine like terms: 14 + 9 = 23
23 + a + -5a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Combine like terms: a + -5a = -4a
23 + -4a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Combine like terms: -4a + 2a = -2a
23 + -2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Combine like terms: -2a + 4a = 2a
23 + 2a + -1a = 4a + 7 + -2a + 8 + -2a + -10

Combine like terms: 2a + -1a = 1a
23 + 1a = 4a + 7 + -2a + 8 + -2a + -10

Reorder the terms:
23 + 1a = 7 + 8 + -10 + 4a + -2a + -2a

Combine like terms: 7 + 8 = 15
23 + 1a = 15 + -10 + 4a + -2a + -2a

Combine like terms: 15 + -10 = 5
23 + 1a = 5 + 4a + -2a + -2a

Combine like terms: 4a + -2a = 2a
23 + 1a = 5 + 2a + -2a

Combine like terms: 2a + -2a = 0
23 + 1a = 5 + 0
23 + 1a = 5

Solving
23 + 1a = 5

Solving for variable 'a'.

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

Add '-23' to each side of the equation.
23 + -23 + 1a = 5 + -23

Combine like terms: 23 + -23 = 0
0 + 1a = 5 + -23
1a = 5 + -23

Combine like terms: 5 + -23 = -18
1a = -18

Divide each side by '1'.
a = -18

Simplifying
a = -18

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