Question

What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesis plus 6 equals negative 9 plus 4 left parenthesis 2 n plus 1 right-parenthesis.(2n + 4) + 6 = –9 + 4(2n + 1)? n =

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

The value of n in the equation is 1

Step-by-step explanation:

The equation is $-\frac{1}{2}$ (2n + 4) + 6 = -9 + 4(2n + 1)

At first we must do that:

1. Open the brackets in both sides

2. Add like terms

3. Solve to find n

L.H.S:

∵ $-\frac{1}{2}$ (2n + 4) + 6 = -n - 2 + 6

∴ $-\frac{1}{2}$ (2n + 4) + 6 = -n + 4

R.H.S:

∵ -9 + 4(2n + 1) = -9 + 8n + 4

∴ -9 + 4(2n + 1) = 8n - 5

∴ -n + 4 = 8n - 5

- Add 5 to both sides

∴ -n + 9 = 8n

- Add n to both sides

∴ 9 = 9n

- Divide both sides by 9

∴ n = 1

The value of n in the equation is 1

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