Expert answers to "Solve 2t − 3(t + 8)=−(1 − 4t)..."

nicekikah

Answered question

2021-02-22

Solve

2 t - 3 (t + 8) = - (1 - 4 t) + 10

for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

brawnyN

Skilled2021-02-23Added 91 answers

Step 1
The given equation is

2 t - 3 (t + 8) = - (1 - 4 t) + 10.

Solve the equation as follows:

2 t - 3 (t + 8) = - (1 - 4 t) + 10

2 t - 3 t - 24 = - 1 + 4 t + 10

- t - 24 = 9 + 4 t

- 24 - 9 = 4 t + t

- 33 = 5 t

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 f o r t h e e q u a t i o n 2 t - 3 (t + 8) = - (1 - 4 t) + 10.

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