Solve for $n$. $-6.65=1.3+3 n$
Answer (2)
Subtract 1.3 from both sides of the equation: − 6.65 − 1.3 = 3 n , which simplifies to − 7.95 = 3 n .
Divide both sides by 3 to isolate n : n = 3 − 7.95 .
Calculate the value of n : n = − 2.65 .
The solution is − 2.65 .
Explanation
Understanding the Problem We are given the equation − 6.65 = 1.3 + 3 n and our goal is to solve for n . This is a linear equation, and we can isolate n by performing algebraic operations on both sides of the equation.
Subtracting 1.3 from both sides First, we subtract 1.3 from both sides of the equation to isolate the term with n :
− 6.65 − 1.3 = 1.3 + 3 n − 1.3 − 7.95 = 3 n
Dividing both sides by 3 Next, we divide both sides of the equation by 3 to solve for n :
3 − 7.95 = 3 3 n n = − 2.65
Final Answer Therefore, the solution for n is − 2.65 .
Examples
Imagine you're buying a plant that costs $1.30, and you have a gift card with a balance of -$6.65 (meaning you owe $6.65). You also have some store credit that will cover '3n' times the plant's cost. Solving the equation allows you to determine the value of 'n', which represents how many times the plant's cost your store credit will cover. This type of problem helps in managing budgets, calculating debts, and understanding how credits or discounts apply to purchases. By solving for 'n', you can figure out exactly how much store credit you need to cover the remaining balance.
To solve for n in the equation -6.65 = 1.3 + 3n, subtract 1.3 from both sides to get -7.95 = 3n. Then, divide by 3 to find n = -2.65. The final solution is n = -2.65.
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