Question

-43 times the difference between a number and 74 is equal to the number plus - 64.​

Answer 1

`\huge\boxed{-43(n-74)=n+(-64)}\\\boxed{n=(1623)/(22)=73(17)/(22)}`

Explanation:

`n-\text{a number}\\\\\text{the difference between a number and 74}:\ n-74\\\\\text{-43 times the difference between a number and 74}:\ -43(n-74)\\\\\text{the number plus - 64:}\ n+(-64)\\\\\text{The equation}:\\\\-43(n-74)=n+(-64)`

`solution`

`-43(n-74)=n+(-64)\qquad/\text{use the distributive property}\\\\(-43)(n)+(-43)(-74)=n-64\\\\-43n+3182=n-64\qquad/\text{subtract 3182 from both sides}\\\\-43n=n-3246\qquad/\text{subtract}\ n\ \text{from both sides}\\\\-44n=-3246\qquad/\text{divide both sides by (-44)}\\\\n=(-3246)/(-44)\\\\n=(3246:2)/(44:2)\\\\\boxed{n=(1623)/(22)=73(17)/(22)}`

Answer 2

Answer: -43( n - 74) = n + (-64)

Explanation:

The statement can be represented by the equation

-43( n - 74) = n + (-64) where n is the number