Simplify: (x+y-z)+(3x-5y+7z)-(14x+7y-6z)

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Solution

In the given algebraic expression, x, y, z are the variables.
Let S=(x+y-z)+(3x-5y+7z)-(14x+7y-6z)
=x+y-z+3x-5y+7z-14x-7y+6z
=(x+3x-14x)+(y-5y-7y)+(-z+7z+6z)
=(-10x)+(-11y)+(-12z)
=-10x-11y-12z

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