How do you solve this multi-step equations 8q+6=4q-14?

Step-by-step explanation:

8q + 6 = 4q - 14

8q - 4q = - 14 - 6

4q = - 20

q = -20/4 = -5

q = -5

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q = -5

Step-by-step explanation:

Simplifying

8q + 6 = 4q + -14

Reorder the terms:

6 + 8q = 4q + -14

Reorder the terms:

6 + 8q = -14 + 4q

Solving

6 + 8q = -14 + 4q

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-4q' to each side of the equation.

6 + 8q + -4q = -14 + 4q + -4q

Combine like terms: 8q + -4q = 4q

6 + 4q = -14 + 4q + -4q

Combine like terms: 4q + -4q = 0

6 + 4q = -14 + 0

6 + 4q = -14

Add '-6' to each side of the equation.

6 + -6 + 4q = -14 + -6

Combine like terms: 6 + -6 = 0

0 + 4q = -14 + -6

4q = -14 + -6

Combine like terms: -14 + -6 = -20

4q = -20

Divide each side by '4'.

q = -5

Simplifying

q = -5

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