Answer:
n = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
-1/2(2n + 4) +6 = -9 + 4 (2n + 1)
(-1/2)(2n) + (-1/2)(4) + 6 = −9 + (4)(2n) + (4)(1) (Distribute)
−n + −2 + 6 = −9 + 8n + 4
(−n) + (−2 + 6) = (8n) + (−9 + 4) (Combine Like Terms)
−n + 4 = 8n + −5
−n + 4 = 8n − 5
Step 2: Subtract 8n from both sides.
−n + 4 − 8n = 8n − 5 − 8n
−9n + 4 = −5
Step 3: Subtract 4 from both sides.
−9n + 4 − 4 = −5 − 4
−9n = −9
Step 4: Divide both sides by -9.
-9n/-9 = -9/-9
n = 1
