Question

Perform the indicated operation and write the result in the form a+bia+bi:

−5t+6+8(3+7t)−5t+6+8(3+7t)

A. −56t+54−56t+54
B. 56t+5456t+54
C. −56t−54−56t−54
D. 56t−5456t−54

Answer 1

To perform the indicated operation, combine like terms and simplify the expression -5t+6+8(3+7t) to get the final result of 51t+30.

Step-by-step explanation:

To perform the indicated operation, we need to simplify the expression -5t+6+8(3+7t). First, we simplify the parentheses by applying the distributive property: 8(3+7t) = 24+56t. The expression is now -5t+6+24+56t. Next, we combine like terms by adding the coefficients of t: -5t+56t = 51t. Finally, we add the constant terms together: 6+24 = 30. The simplified expression is 51t+30.