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Question

# Simplify.$18 \left( \frac { 11 } { 18 } w - \frac { 7 } { 2 } \right) - 18 \left( \frac { 1 } { 9 } w \right)$

Solution

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\begin{align*} &18\left(\dfrac{11}{18}w - \dfrac{7}{2} \right) - 18\left(\dfrac{1}{9}w \right) && {\text{Given}}\\ &18\left(\dfrac{11}{18}w \right) - 18\left(\dfrac{7}{2} \right) - 18\left(\dfrac{1}{9}w \right) && {\text{Distribute the multiplication}}\\ &\dfrac{198}{18}w - \dfrac{126}{2} - \dfrac{18}{9}w && {\text{Perform multiplication}}\\ &11w - 63 - 2w && {\text{Simplify each fraction}}\\ &11w - 2w - 63 && {\text{Arrange the given to show like terms}}\\ &(11 - 2)w - 63 && {\text{Perform operation inside parentheses}}\\ &{\color{#4257b2}9w - 63} && {\text{Combine like terms}}\\ \end{align*}

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