a-b-c-d-e-f-g-h=k

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Solution for a-b-c-d-e-f-g-h=k equation: 


Simplifying
a + -1b + -1c + -1d + -1e + -1f + -1g + -1h = k

Solving
a + -1b + -1c + -1d + -1e + -1f + -1g + -1h = k

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
a + -1b + -1c + -1d + -1e + -1f + -1g + b + -1h = b + k

Reorder the terms:
a + -1b + b + -1c + -1d + -1e + -1f + -1g + -1h = b + k

Combine like terms: -1b + b = 0
a + 0 + -1c + -1d + -1e + -1f + -1g + -1h = b + k
a + -1c + -1d + -1e + -1f + -1g + -1h = b + k

Add 'c' to each side of the equation.
a + -1c + -1d + -1e + -1f + -1g + c + -1h = b + c + k

Reorder the terms:
a + -1c + c + -1d + -1e + -1f + -1g + -1h = b + c + k

Combine like terms: -1c + c = 0
a + 0 + -1d + -1e + -1f + -1g + -1h = b + c + k
a + -1d + -1e + -1f + -1g + -1h = b + c + k

Add 'd' to each side of the equation.
a + -1d + -1e + -1f + -1g + d + -1h = b + c + d + k

Reorder the terms:
a + -1d + d + -1e + -1f + -1g + -1h = b + c + d + k

Combine like terms: -1d + d = 0
a + 0 + -1e + -1f + -1g + -1h = b + c + d + k
a + -1e + -1f + -1g + -1h = b + c + d + k

Add 'e' to each side of the equation.
a + -1e + -1f + -1g + e + -1h = b + c + d + e + k

Reorder the terms:
a + -1e + e + -1f + -1g + -1h = b + c + d + e + k

Combine like terms: -1e + e = 0
a + 0 + -1f + -1g + -1h = b + c + d + e + k
a + -1f + -1g + -1h = b + c + d + e + k

Add 'f' to each side of the equation.
a + -1f + -1g + f + -1h = b + c + d + e + f + k

Reorder the terms:
a + -1f + f + -1g + -1h = b + c + d + e + f + k

Combine like terms: -1f + f = 0
a + 0 + -1g + -1h = b + c + d + e + f + k
a + -1g + -1h = b + c + d + e + f + k

Add 'g' to each side of the equation.
a + -1g + g + -1h = b + c + d + e + f + g + k

Combine like terms: -1g + g = 0
a + 0 + -1h = b + c + d + e + f + g + k
a + -1h = b + c + d + e + f + g + k

Add 'h' to each side of the equation.
a + -1h + h = b + c + d + e + f + g + h + k

Combine like terms: -1h + h = 0
a + 0 = b + c + d + e + f + g + h + k
a = b + c + d + e + f + g + h + k

Simplifying
a = b + c + d + e + f + g + h + k

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