What is simplify-(t+7)+5/4 t ?

The solution to simplify-(t+7)+5/4 t is 1/4 t-7

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simplify-(t+7)+5/4 t

simplify

- (t + 7) + \frac{5}{4} t

\frac{1}{4} t - 7

Solution steps

- (t + 7) + \frac{5}{4} t

Apply the distributive law:

- (a + b) = - a - b

- (t + 7) = - t - 7

= - t - 7 + \frac{5}{4} t

Group like terms

= - t + \frac{5}{4} t - 7

Factor out common term

t : t (- 1 + \frac{5}{4})

= t (- 1 + \frac{5}{4}) - 7

- 1 + \frac{5}{4} = \frac{1}{4}

= t \frac{1}{4} - 7

= \frac{1}{4} t - 7

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