Question
Solve the equation
n=−2
Evaluate
85n−10n=20−21
Use b−a=−ba=−ba to rewrite the fraction
85n−10n=−2021
Multiply both sides of the equation by LCD
(85n−10n)×40=−2021×40
Simplify the equation
More Steps

Evaluate
(85n−10n)×40
Apply the distributive property
85n×40−10n×40
Simplify
5n×5−n×4
Multiply the numbers
25n−n×4
Use the commutative property to reorder the terms
25n−4n
Collect like terms by calculating the sum or difference of their coefficients
(25−4)n
Subtract the numbers
21n
21n=−2021×40
Simplify the equation
More Steps

Evaluate
−2021×40
Simplify
−21×2
Multiply the numbers
−42
21n=−42
Divide both sides
2121n=21−42
Divide the numbers
n=21−42
Solution
More Steps

Evaluate
21−42
Reduce the numbers
1−2
Calculate
−2
n=−2
Show Solution
