Question

8(5 + 4n) + 11 = -5(3 - 7n)

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.

n = 22

Answer 2

n=22

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