Solve the equation −16
(12 + 18t) = 13 for t.
To solve for t, we first need to distribute the -16 to both terms inside the parentheses:
-16(12 + 18t) = 13
-192 - 288t = 13
Next, isolate t by moving the constant term to the other side of the equation:
-288t = 13 + 192
-288t = 205
Finally, divide both sides by -288 to solve for t:
t = 205 / (-288)
t = -205 / 288
Therefore, the solution to the equation is t = -205/288.