Answer:
t = 15
–3(t − 17) = 6
Explanation:
1. Distribute the –3 to the terms inside the parentheses:
–3 * t + 3 * 17 = 6
2. Simplify:
–3t + 51 = 6
3. Next, we want to isolate the variable t by getting rid of the constant term. To do this, we can subtract 51 from both sides of the equation:
–3t + 51 - 51 = 6 - 51
This simplifies to:
–3t = -45
4. Now, to solve for t, we need to isolate the variable. Since –3t means –3 times t, we can divide both sides of the equation by –3:
–3t / –3 = -45 / –3
This simplifies to:
t = 15
So, the solution to the equation –3(t − 17) = 6 is t = 15.