Solve the equation by combining like terms. Show all steps.

10w + 4w = -84

14w=-84

divide by 14

w= -84/14

w=-6

w = -6

Step-by-step explanation:

Like terms would be "terms" with the same variable. 5x and 4x would be like terms, because they have the same variable of x. 6y and 2x would not be like terms, because they have different variables (6y has the variable of y and 2x has the variable of x).

When combining like terms, we would add up the coefficients of the variables and then multiply that by the variable:

4x + 6x = (4 + 6)x = 10x

In other words:

ax + bx = (a + b)x

where x is any variable and a and b are constants.

We are given the equation:

10w + 4w = -84

and we have to solve the equation. To do this, we must first combine the like terms. And than we would try to get the equation into the for "w = _".

10w + 4w = -84

Combine the like terms 10w and 4w.

(10 + 4)w = -84

Simplify.

14w = -84

Divide both sides by 14 to get rid of the coefficient of 14 on the left side.

w = (-84) ÷ 14

Simplify.

w = -6

The solution would be w = -6.

I hope you find my answer helpful. :)