8 (t+2) - 3 (t-4) = 6 (t-7) + 8 i dont understand this is 5.111111 correct?

8 (t + 2) - 3 (t - 4) = 6 (t - 7) + 8

To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a (b + c) = ab + ac. We'll need to apply it three times for this equation.

8 (t + 2) = > 8t + 16

-3 (t - 4) = > - 3t + 12

6 (t - 7) = > 6t - 42

This gives us

8 (t + 2) - 3 (t - 4) = 6 (t - 7) + 8

8t + 16 - 3t + 12 = 6t - 42 + 8

Next, combine like terms (constants with constants and variable terms with variable terms).

8t + 16 - 3t + 12 = 6t - 42 + 8

5t + 28 = 6t - 34

Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.

5t + 28 = 6t - 34

5t = 6t - 62

Subtract 6t from both sides.

5t = 6t - 62

-t = - 62

Divide both sides by - 1.

t = 62

Answer:

t = 62