Explanation:
7(4n−6)=6+4(4+3n)
Step 1: Simplify both sides of the equation.
7(4n−6)=6+4(4+3n)
(7)(4n)+(7)(−6)=6+(4)(4)+(4)(3n) (Distribute)
28n+−42=6+16+12n
28n−42=(12n)+(6+16) (Combine Like Terms)
28n−42=12n+22
Step 2: Subtract 12n from both sides.
28n−42−12n=12n+22−12n
16n−42=22
Step 3: Add 42 to both sides.
16n−42+42=22+42
16n=64
Step 4: Divide both sides by 16.

n=4