Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -2(4t - 13) + 15 = 9 -8t + 26 + 15 = 9 -8t + 41 = 9 -8t = -32 subtract 41 from both sides t = 4 divide both sides by -8

Explanation:

Step1: Apply distributive property

$-2(4t - 13)=-2\times4t-2\times(-13)=-8t + 26$

Step2: Combine like - terms

$26 + 15=41$, so $-8t+26 + 15=-8t + 41$

Step3: Isolate the term with the variable

Subtract 41 from both sides: $-8t+41-41=9 - 41$, resulting in $-8t=-32$

Step4: Solve for t

Divide both sides by - 8: $\frac{-8t}{-8}=\frac{-32}{-8}$, so $t = 4$

Answer:

The first missing description is "Apply distributive property". The second missing description is "Combine like - terms".