Final answer:
To solve the equation 14w + 9 - 8w = 21 - w, we first combine like terms to get 6w + 9 = 21 - w. After rearranging the terms and simplifying, we find w = 12 / 7, or approximately 1.71.
Step-by-step explanation:
The student's question contains a potential typo in the equation, as it has two equals signs. Assuming the correct equation is 14w + 9 - 8w = 21 - w, we can solve for w. First, let's simplify the left side by combining like terms:
14w - 8w = 6w
The equation now is 6w + 9 = 21 - w. Now, let's get all the w terms on one side and the numerical terms on the other side:
6w + w = 21 - 9
7w = 12
Now, divide both sides by 7 to solve for w:
w = 12 / 7
Therefore, the solution is w = 12/7 or approximately 1.71.