Put the steps in order to solve the equation: 3n+9+4n=2
Put the reasoning in the first blank and the simplified equation in the second blank.(6 points)
Step 1: Combine like terms on the left side of the equation since both 3n and 4n have n as a common variable.
Reasoning: The two terms 3n and 4n can be added together because they have the same variable, n.
Simplified equation: 7n + 9 = 2
Step 2: Isolate the variable term by subtracting 9 from both sides of the equation.
Reasoning: By subtracting 9 from both sides, we are eliminating the term 9 from one side of the equation, leaving the variable term, 7n, on one side alone.
Simplified equation: 7n = -7
Step 3: Solve for n by dividing both sides of the equation by 7.
Reasoning: Since 7n represents the multiplication of 7 and n, dividing both sides by 7 will cancel out the multiplication and leave n alone on one side of the equation.
Simplified equation: n = -1
1. Reasoning: Combine like terms on both sides of the equation to simplify the expression.
2. Simplified equation: 7n + 9 = 2
3. Reasoning: Subtract 9 from both sides to isolate the variable term.
4. Simplified equation: 7n = -7
5. Reasoning: Divide both sides by 7 to solve for n.
6. Simplified equation: n = -1