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# Properties of Arithmetic

Understanding the properties of arithmetic will allow you to simplify complex expressions and do difficult calculations in a flash. Just don't divide by 0...

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Evaluate \[ 10 \times \left( \dfrac{1}{2} - \dfrac{3}{5} \right). \]

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It is given that

\[ 3(8x + 9 ) + 5x = Nx + M \]

is an algebraic identity. What is the value of \(N\)?

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What is the sum of all the coefficients in the expansion of \[2x(5x^3+6x+15)?\]

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Simplify the expression

\[ 8x + 3y + 2x + 10y. \]

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