Isolate the variable by dividing each side by factors that don't contain the variable.
n = 22
Answer:
n=22
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8(5+4n)+11=−5(3−7n)
(8)(5)+(8)(4n)+11=(−5)(3)+(−5)(−7n)(Distribute)
40+32n+11=−15+35n
(32n)+(40+11)=35n−15(Combine Like Terms)
32n+51=35n−15
32n+51=35n−15
Step 2: Subtract 35n from both sides.
32n+51−35n=35n−15−35n
−3n+51=−15
Step 3: Subtract 51 from both sides.
−3n+51−51=−15−51
−3n=−66
Step 4: Divide both sides by -3.
−3n /−3 = −66 /−3
n=22
