To show that −3(−13+m)+11 is equivalent to −3⋅m+12, we will follow these steps:
Step 1: Distribute -3 to the terms inside the parentheses (-13 and +m).
-3 x (-13) + -3 x m + 11
Step 2: Multiply -3 x -13 and simplify the result.
39 + -3 x m + 11
Step 3: Combine like terms -3 x m (negative 3 times m is -3m).
-3m + 39 + 11
Step 4: Add 39 and 11.
-3m + 50
The final simplified expression is -3m + 50, which is equivalent to -3⋅m+12.