To write -2(n+3) = 13 in different ways, we can use algebraic properties and operations to isolate the variable n on one side of the equation.
Method 1: Distributive Property
-2(n+3) = 13
-2n - 6 = 13 (distributing the -2)
-2n = 13 + 6 (adding 6 to both sides)
-2n = 19 (simplifying)
n = -19/2 (dividing both sides by -2)
So the solution is n = -19/2.
Method 2: Reverse Order of Operations
-2(n+3) = 13
-2n - 6 = 13 (following the order of operations, first adding -3 to both sides)
-2n = 13 + 6 (then adding 6 to both sides)
-2n = 19 (simplifying)
n = -19/2 (dividing both sides by -2)
So the solution is n = -19/2.
Both methods give the same solution, which is n = -19/2.