Question

Solve

0.6(10n + 25) = 10 + 5n ?

Answer 1

Answer:
`x=-5`

Simplify both sides of the equation

`(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10`

Subtract 5n from both sides

`6n+15-5n=5n+10-5n\\n+15=10`

Subtract 15 from both sides

`n+15-15=10-15\\n=-5`

Answer 2

Answer:
`n=-5`

Move all terms containing n to the left, all other terms to the right

Add -5n to each side of the equation.

`15 + 6n + -5n = 10 + 5n + -5n`

Combine like terms: 6n + -5n = 1n

`15 + 1n = 10 + 5n + -5n`

Combine like terms: 5n + -5n = 0

`15 + 1n = 10 + 0\\15 + 1n = 10`

Add -15 to each side of the equation

`15 + -15 + 1n = 10 + -15`

Combine like terms: 15 + -15 = 0

`0 + 1n = 10 + -151n = 10 + -15`

Combine like terms: 10 + -15 = -5

`1n = -5`

Divide each side by 1

`1n/1=-5/1\\n=-5`