Step: 1

A number z is multiplied by 3 = 3 × z = 3z

Step: 2

3z is decreased by 15 = 3z - 15

Step: 3

3z - 15 = 12

[Original equation.]

Step: 4

3z = 12 + 15

[Add 15 to each side.]

Step: 5

3z = 27

[Add.]

Step: 6

[Divide each side by 3 and simplify.]

Step: 7

So, the number z is 9.

Correct Answer is : 9

Step: 1

23 = k - 5 + 20

[Original equation.]

Step: 2

23 - 20 = k ( - 5 ) + 20 - 20

[Subtract 20 from each side.]

Step: 3

3 = k - 5

[Simplify.]

Step: 4

(- 5)3 = - 5 × k - 5

[Multiply each side by - 5.]

Step: 5

- 15 = k

[Simplify.]

Step: 6

Correct Answer is : - 15

Step: 1

1029w + 2345 = 5432

[Original equation.]

Step: 2

1029w + 2345 - 2345 = 5432 - 2345

[Subtract 2345 from each side.]

Step: 3

1029w = 3087

[Simplify.]

Step: 4

[Divide each side by 1029.]

Step: 5

[Simplify.]

Correct Answer is : 3

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