-8(t-3)-(t+1)=6
-8(t-3)-(t+1)=6
-8t + 24 - t - 1 = 6
-9t = 6 + 1 - 24
-9t = -17
t = 17/9 = 1 8/9
To solve the equation -8(t-3)-(t+1)=6, we will follow these steps:
1. Distribute the -8 to the terms inside the parentheses:
-8t + 24 - (t + 1) = 6
2. Remove the parentheses by distributing the negative sign to the terms inside the second set of parentheses:
-8t + 24 - t - 1 = 6
3. Combine like terms on both sides of the equation:
-9t + 23 = 6
4. Move the constant term (23) to the right side of the equation by subtracting it from both sides:
-9t = 6 - 23
-9t = -17
5. Divide both sides of the equation by -9 to solve for t:
t = -17 / -9
t = 17/9
Therefore, the solution to the equation -8(t-3)-(t+1)=6 is t = 17/9.