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
