1=4a+(-8)+2a+1-a-b

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Solution for 1=4a+(-8)+2a+1-a-b equation: 


Simplifying
1 = 4a + (-8) + 2a + 1 + -1a + -1b
1 = 4a + -8 + 2a + 1 + -1a + -1b

Reorder the terms:
1 = -8 + 1 + 4a + 2a + -1a + -1b

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

Combine like terms: 4a + 2a = 6a
1 = -7 + 6a + -1a + -1b

Combine like terms: 6a + -1a = 5a
1 = -7 + 5a + -1b

Solving
1 = -7 + 5a + -1b

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
1 + -5a = -7 + 5a + -5a + -1b

Combine like terms: 5a + -5a = 0
1 + -5a = -7 + 0 + -1b
1 + -5a = -7 + -1b

Add '-1' to each side of the equation.
1 + -1 + -5a = -7 + -1 + -1b

Combine like terms: 1 + -1 = 0
0 + -5a = -7 + -1 + -1b
-5a = -7 + -1 + -1b

Combine like terms: -7 + -1 = -8
-5a = -8 + -1b

Divide each side by '-5'.
a = 1.6 + 0.2b

Simplifying
a = 1.6 + 0.2b

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