QuestionAugust 26, 2025

Simplify the expression . Write your answers using ; integers or improper fractions. -(t+7)+(5)/(4)t Answer Attempt 1 out of 2 square

Simplify the expression . Write your answers using ; integers or improper fractions. -(t+7)+(5)/(4)t Answer Attempt 1 out of 2 square
Simplify the expression . Write your
answers using ; integers or improper
fractions.
-(t+7)+(5)/(4)t
Answer
Attempt 1 out of 2
square

Solution
4.7(173 votes)

Answer

\frac{1}{4}t - 7 Explanation 1. Distribute the negative sign Apply the negative sign to both terms inside the parentheses: -(t+7) = -t - 7. 2. Combine like terms Combine -t and \frac{5}{4}t: -t + \frac{5}{4}t = -\frac{4}{4}t + \frac{5}{4}t = \frac{1}{4}t. 3. Simplify the expression The simplified expression is \frac{1}{4}t - 7.

Explanation

1. Distribute the negative sign<br /> Apply the negative sign to both terms inside the parentheses: $-(t+7) = -t - 7$.<br />2. Combine like terms<br /> Combine $-t$ and $\frac{5}{4}t$: $-t + \frac{5}{4}t = -\frac{4}{4}t + \frac{5}{4}t = \frac{1}{4}t$.<br />3. Simplify the expression<br /> The simplified expression is $\frac{1}{4}t - 7$.
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