Question

How many solutions does this equation have?

5w + 6 = –6(–9w − 1) + 15w

Answer 1

The equation 5w + 6 = –6(–9w – 1) + 15w has one unique solution, w = 0.

Step-by-step explanation:

The student asked: How many solutions does this equation have?

Let's solve the equation step by step:

5w + 6 = –6(–9w – 1) + 15w

Multiply through the parentheses:

5w + 6 = 54w + 6 + 15w

Combine like terms:

5w + 6 = 69w + 6

Subtract 5w from both sides:

6 = 64w + 6

Subtract 6 from both sides:

0 = 64w

Divide by 64:

w = 0

The equation has one unique solution, which is w = 0.