Can someone solve this real quick? Please include the steps!

3 (2n + 4) - 2 = 1 +5 (n + 1)

N = - 4

Step-by-step explanation:

3 (2n+4)-2=1+5(n+1

distribute 3 through the paretheses

6n+12-2=1+5n

add the numbers

6n+10=6+5n

move constant to the right-hand side and change its sign

6n-5n=6-10

calculate the difference

n = - 4

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°