a-(a-4)=(a-5)-(a-1)

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Solution for a-(a-4)=(a-5)-(a-1) equation:


Simplifying
a + -1(a + -4) = (a + -5) + -1(a + -1)

Reorder the terms:
a + -1(-4 + a) = (a + -5) + -1(a + -1)
a + (-4 * -1 + a * -1) = (a + -5) + -1(a + -1)
a + (4 + -1a) = (a + -5) + -1(a + -1)

Reorder the terms:
4 + a + -1a = (a + -5) + -1(a + -1)

Combine like terms: a + -1a = 0
4 + 0 = (a + -5) + -1(a + -1)
4 = (a + -5) + -1(a + -1)

Reorder the terms:
4 = (-5 + a) + -1(a + -1)

Remove parenthesis around (-5 + a)
4 = -5 + a + -1(a + -1)

Reorder the terms:
4 = -5 + a + -1(-1 + a)
4 = -5 + a + (-1 * -1 + a * -1)
4 = -5 + a + (1 + -1a)

Reorder the terms:
4 = -5 + 1 + a + -1a

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

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

Solving
4 = -4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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