Question

What is the equation?
3 + 5(2 + 7n) = 258

Answer 1

n = 7

Step-by-step explanation:

1) Subtract 3 from both sides.

5(2 + 7n) = 258 - 3

2) Simplify 258 - 3 to 255.

5(2 + 7n) = 255

3) Divide both sides by 5.

2 + 7n = 255/5

4) Simplify 255/5 to 51.

2 + 7n = 51

5) Subtract 2 from both sides.

7n = 51 - 2

6) Simplify 51 - 2 to 49.

7n = 49

7) Divide both sides by 7.

n = 49/7

8) Simplify 49/7 yo 7.

n = 7

Answer 2

n = 7

Step-by-step explanation:

`\rightarrow \sf 3 + 5(2 + 7n) = 258`

apply distributive method: a(b + c) = ab + ac

`\rightarrow \sf 3 + 10 + 35n = 258`

simply add the numbers

`\rightarrow \sf 13 + 35n = 258`

subtract both sides by 13

`\rightarrow \sf 13-13 + 35n = 258-13`

simplify the following

`\rightarrow \sf 35n = 245`

divide both sides by 35

`\rightarrow \sf n = 7`