# Solve 2t - 3(t + 8) = -(1 - 4t) + 10 for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

Question
Decimals
Solve $$2t\ -\ 3(t\ +\ 8) = -(1\ -\ 4t)\ + 10$$ for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

2021-02-23
Step 1
The given equation is $$2t\ -\ 3(t\ +\ 8) =\ -(1\ -\ 4t)\ +\ 10.$$
Solve the equation as follows:
$$2t\ -\ 3(t\ +\ 8) =\ -(1\ -\ 4t)\ +\ 10$$
$$2t\ -\ 3t\ -\ 24 =\ -1\ +\ 4t\ +\ 10$$
$$-t\ -\ 24 = 9\ +\ 4t$$
$$-24\ -\ 9 = 4t\ +\ t$$
$$-33 = 5t$$
$$t =\ -\frac{33}{5}$$
Step 2
Now round the fraction up to two decimals.
$$t =\ -6.60$$
Step 3
Answer: The value of $$t =\ -6.60\ for\ the\ equation\ 2t\ -\ 3(t\ +\ 8) =\ -(1\ -\ 4t)\ +\ 10.$$

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