%2B4%3D-2n%2B18.jpeg "10-6(2n-9)+4=-2n+18")
Solving the Equation: 10-6(2n-9)+4=-2n+18
In this article, we will solve the equation 10-6(2n-9)+4=-2n+18 step by step.
Step 1: Simplify the Left-Hand Side
The left-hand side of the equation is 10-6(2n-9)+4. Let's simplify it.
10 - 6(2n - 9) + 4 =
10 - 12n + 54 + 4 =
64 - 12n
So, the simplified left-hand side is 64 - 12n.
Step 2: Equate the Two Expressions
Now, we equate the simplified left-hand side with the right-hand side of the equation, which is -2n + 18.
64 - 12n = -2n + 18
Step 3: Add 2n to Both Sides
To combine the n terms, we add 2n to both sides of the equation.
64 - 12n + 2n = -2n + 2n + 18
64 - 10n = 18
Step 4: Subtract 64 from Both Sides
To isolate the n term, we subtract 64 from both sides of the equation.
-10n = 18 - 64
-10n = -46
Step 5: Divide by -10
Finally, we divide both sides of the equation by -10 to solve for n.
n = -46 / -10
n = 23/5
n = 4.6
Therefore, the value of n is 4.6.
