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

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


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

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

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

Combine like terms: -7 + 4 = -3
1 = -3 + 4a + 2a + -1a + -1a

Combine like terms: 4a + 2a = 6a
1 = -3 + 6a + -1a + -1a

Combine like terms: 6a + -1a = 5a
1 = -3 + 5a + -1a

Combine like terms: 5a + -1a = 4a
1 = -3 + 4a

Solving
1 = -3 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
1 + -4a = -3 + 4a + -4a

Combine like terms: 4a + -4a = 0
1 + -4a = -3 + 0
1 + -4a = -3

Add '-1' to each side of the equation.
1 + -1 + -4a = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -4a = -3 + -1
-4a = -3 + -1

Combine like terms: -3 + -1 = -4
-4a = -4

Divide each side by '-4'.
a = 1

Simplifying
a = 1

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