Questions: (18/12 t-7) 2

(18/12 t-7) 2
Transcript text: $\left(\frac{18}{12} t-7\right) 2$
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Solution

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Solution Steps

To solve the given expression, we need to simplify it step by step. First, simplify the fraction $\frac{18}{12}$, then multiply it by $t$, subtract 7, and finally multiply the entire expression by 2.

Step 1: Simplify the Fraction

We start with the fraction \( \frac{18}{12} \). Simplifying this gives us: \[ \frac{18}{12} = \frac{3}{2} \]

Step 2: Substitute and Simplify the Expression

Next, we substitute \( \frac{3}{2} \) into the expression \( \left(\frac{18}{12} t - 7\right) 2 \): \[ \left(\frac{3}{2} t - 7\right) 2 \]

Step 3: Distribute and Calculate

Now, we distribute the 2: \[ 2 \left(\frac{3}{2} t - 7\right) = 2 \cdot \frac{3}{2} t - 2 \cdot 7 = 3t - 14 \] Substituting \( t = 1 \): \[ 3(1) - 14 = 3 - 14 = -11 \]

Final Answer

Thus, the final result is: \[ \boxed{-11} \]

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