Question

How do you solve `\frac { 1} { 2} ( a + 24) = 7`?

Answer 1

`a=-10`

Refer to the explanation for the process.

Explanation:

Solve:

`1/2(a+24)=7`

Multiply both sides by `2` to get rid of the fraction.

`2xx1/2(a+24)=7xx2`

Cancel `2` on the left-hand side.

`color(red)cancel(color(black)(2))xx1/color(red)cancel(color(black)(2))(a+24)=7xx2`

Simplify.

`a+24=14`

Subtract `24` from both sides.

`a+24-24=14-24`

Cancel `24` on the left-hand side.

`a+color(red)cancel(color(black)(24))-color(red)cancel(color(black)(24))=14-24`

Simplify.

`a=-10`

Answer 2

See below

`a=-10`

Explanation:

To solve `1/2(a+24)=7`

multiply both sides by 2: `" "2*1/2(a+24)=7*2`

you get `a+24=14`

subtract 24 from both sides: `" "a=-10`