Final answer:
To solve the equation (3.2 + 3.3 + 3.5)w = w, we first combine the constants to simplify it to 10w = w. Dividing both sides by w shows that the only solution satisfying the equation is w = 0.
Step-by-step explanation:
To find the value of w in the equation (3.2 + 3.3 + 3.5)w = w, we can simplify the equation. First, let's distribute the w on the left side of the equation: (3.2w + 3.3w + 3.5w) = w. Combining like terms, we get 9w = w. Now, we can subtract w from both sides of the equation to isolate the variable w: 9w - w = 0. This simplifies to 8w = 0. Finally, divide both sides of the equation by 8 to solve for w: w = 0. Therefore, the value of w in the equation (3.2 + 3.3 + 3.5)w = w is 0.
The question presents an equation involving a variable w and requires solving for its value. Given the equation (3.2 + 3.3 + 3.5)w = w, we can simplify the left side by combining the constants: 3.2 + 3.3 + 3.5 equals 10. Therefore, the equation simplified is 10w = w.
To find the value of w, we can divide both sides of the equation by w (assuming w is not zero). This leaves us with 10 = 1, which is not a true statement. Since our original equation must hold true for all values of w, and given that multiplying w by 10 cannot result in just w unless w is zero, the only solution that satisfies the equation is w = 0.