Question

2v+18 =16-4(v+7)
v=????

Answer 1

v = -5

Explanation:

1. Expand the brackets on the right side of the equation by multiplying v and 7 by -4: 16 - 4v - 28

2. Simplify the right hand side: 16 - 4v - 28 = -12 - 4v

3. Group like terms by putting the v's on one side and the numbers on the other side of the '=' : 2v + 4v = -12 - 18

Note: when you move a term over the other other side of the equal sign, you flip its sign (e.g. if it was +, it would become -)

4. Simplfy both sides of the equation: 6v = -30

5. Divide both sides by 6 to solve for v: v = -5

Hope this helps!

Answer 2

`\sf \: v = - 5`

Explanation:

Given equation,

→ 2v + 18 = 16 - 4(v + 7)

Now the value of v will be,

→ 2v + 18 = 16 - 4(v + 7)

→ 2v + 18 = 16 - 4v - 28

→ 2v + 18 = -4v - 12

→ 2v + 4v = -12 - 18

→ 6v = -30

→ v = -30 ÷ 6

→ [ v = -5 ]

Hence, the value of v is -5.