Question

Solve for q in the equation: 8q + 6 = 4q - 14. Show your work.

Answer 1

8q + 6 = 4q - 14.

8q-4q=-14-6

4q=-20

q=-20/4=-5

Explanation:

Answer 2

Hello!

Answer:

`\Large \boxed{\sf q = -5}`

Explanation:

→ We want to solve this equation:

`\sf 8q + 6 = 4q - 14`

◼ Add 14 to both sides:

`\sf 8q + 6 +14= 4q - 14+14`

◼ Simplify both sides:

`\sf 8q +20= 4q`

◼ Subtract 8q from both sides:

`\sf 8q +20-8q= 4q-8q`

◼ Simplify both sides:

`\sf 20= -4q`

◼ Divide both sides by -4:

`\sf (20)/(-4)= (-4q)/(-4)`

◼ Simplify both sides:

`\boxed{\sf q = -5}`

Conclusion:

The solution of the equation 8q + 6 = 4q - 14 is -5.