Simplify 9+1/2*(7n-26)-8n

Math
9+12⋅(7n-26)-8n
Simplify each term.
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Apply the distributive property.
9+12(7n)+12⋅-26-8n
Multiply 12(7n).
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Combine 7 and 12.
9+72n+12⋅-26-8n
Combine 72 and n.
9+7n2+12⋅-26-8n
9+7n2+12⋅-26-8n
Cancel the common factor of 2.
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Factor 2 out of -26.
9+7n2+12⋅(2(-13))-8n
Cancel the common factor.
9+7n2+12⋅(2⋅-13)-8n
Rewrite the expression.
9+7n2-13-8n
9+7n2-13-8n
9+7n2-13-8n
Subtract 13 from 9.
7n2-4-8n
To write -8n as a fraction with a common denominator, multiply by 22.
7n2-8n⋅22-4
Simplify terms.
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Combine -8n and 22.
7n2+-8n⋅22-4
Combine the numerators over the common denominator.
7n-8n⋅22-4
7n-8n⋅22-4
Simplify each term.
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Simplify the numerator.
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Factor n out of 7n-8n⋅2.
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Factor n out of 7n.
n⋅7-8n⋅22-4
Factor n out of -8n⋅2.
n⋅7+n(-8⋅2)2-4
Factor n out of n⋅7+n(-8⋅2).
n(7-8⋅2)2-4
n(7-8⋅2)2-4
Multiply -8 by 2.
n(7-16)2-4
Subtract 16 from 7.
n⋅-92-4
n⋅-92-4
Move -9 to the left of n.
-9⋅n2-4
Move the negative in front of the fraction.
-9n2-4
-9n2-4
Simplify 9+1/2*(7n-26)-8n

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