abc-d-e-f-g-h-i-j=100

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Solution for abc-d-e-f-g-h-i-j=100 equation:


Simplifying
abc + -1d + -1e + -1f + -1g + -1h + -1i + -1j = 100

Solving
abc + -1d + -1e + -1f + -1g + -1h + -1i + -1j = 100

Solving for variable 'a'.

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

Add 'd' to each side of the equation.
abc + -1d + -1e + -1f + -1g + -1h + -1i + d + -1j = 100 + d

Reorder the terms:
abc + -1d + d + -1e + -1f + -1g + -1h + -1i + -1j = 100 + d

Combine like terms: -1d + d = 0
abc + 0 + -1e + -1f + -1g + -1h + -1i + -1j = 100 + d
abc + -1e + -1f + -1g + -1h + -1i + -1j = 100 + d

Add 'e' to each side of the equation.
abc + -1e + -1f + -1g + -1h + -1i + e + -1j = 100 + d + e

Reorder the terms:
abc + -1e + e + -1f + -1g + -1h + -1i + -1j = 100 + d + e

Combine like terms: -1e + e = 0
abc + 0 + -1f + -1g + -1h + -1i + -1j = 100 + d + e
abc + -1f + -1g + -1h + -1i + -1j = 100 + d + e

Add 'f' to each side of the equation.
abc + -1f + -1g + -1h + -1i + f + -1j = 100 + d + e + f

Reorder the terms:
abc + -1f + f + -1g + -1h + -1i + -1j = 100 + d + e + f

Combine like terms: -1f + f = 0
abc + 0 + -1g + -1h + -1i + -1j = 100 + d + e + f
abc + -1g + -1h + -1i + -1j = 100 + d + e + f

Add 'g' to each side of the equation.
abc + -1g + -1h + -1i + g + -1j = 100 + d + e + f + g

Reorder the terms:
abc + -1g + g + -1h + -1i + -1j = 100 + d + e + f + g

Combine like terms: -1g + g = 0
abc + 0 + -1h + -1i + -1j = 100 + d + e + f + g
abc + -1h + -1i + -1j = 100 + d + e + f + g

Add 'h' to each side of the equation.
abc + -1h + -1i + h + -1j = 100 + d + e + f + g + h

Reorder the terms:
abc + -1h + h + -1i + -1j = 100 + d + e + f + g + h

Combine like terms: -1h + h = 0
abc + 0 + -1i + -1j = 100 + d + e + f + g + h
abc + -1i + -1j = 100 + d + e + f + g + h

Add 'i' to each side of the equation.
abc + -1i + i + -1j = 100 + d + e + f + g + h + i

Combine like terms: -1i + i = 0
abc + 0 + -1j = 100 + d + e + f + g + h + i
abc + -1j = 100 + d + e + f + g + h + i

Add 'j' to each side of the equation.
abc + -1j + j = 100 + d + e + f + g + h + i + j

Combine like terms: -1j + j = 0
abc + 0 = 100 + d + e + f + g + h + i + j
abc = 100 + d + e + f + g + h + i + j

Divide each side by 'bc'.
a = 100b-1c-1 + b-1c-1d + b-1c-1e + b-1c-1f + b-1c-1g + b-1c-1h + b-1c-1i + b-1c-1j

Simplifying
a = 100b-1c-1 + b-1c-1d + b-1c-1e + b-1c-1f + b-1c-1g + b-1c-1h + b-1c-1i + b-1c-1j

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