Question

Solve for w.

–0.05 + 2.3w − 14w = –6.89 − 13.6w

w =

Answer 1

`\boxed{w = - 3.6}`

Explanation:

`= > - 0.05 + 2.3w - 14w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w + 13.6w = - 6.89 \\ \\ = > - 0.05 + 1.9w = - 6.89 \\ \\ = > 1.9w = - 6.89 + 0.05 \\ \\ = > 1.9w = - 6.84 \\ \\ = > w = - (6.84)/(1.9) \\ \\ = > w = - 3.6`

Answer 2

w = -3.6

Explanation:

→Add like terms (2.3w and -14 w):

-0.05 + 2.3w - 14w = -6.89 - 13.6w

-0.05 -11.7w = -6.89 - 13.6w

→Add 11.7w to both sides:

-0.05 = -6.89 - 1.9w

→Add 6.89 to both sides:

6.84 = -1.9w

→Divide both sides by -1.9:

-3.6 = w