Final answer:
The equivalent expression to -0.49 + w - 0.46w - 0.49 + w - 0.46w is -0.98 + 0.08w, by combining like terms.
Step-by-step explanation:
The expression given by the student is -0.49 + w - 0.46w - 0.49 + w - 0.46w. To simplify this expression, you can combine like terms. The like terms in this case are the constants and the coefficients of the variable w. When you add together the constants, -0.49 and -0.49, you get -0.98.
Similarly, when you combine the terms with w, namely 1 w, -0.46w, 1 w, and -0.46w, you get 0.08w. So, the given expression simplifies to -0.98 + 0.08w, which is the equivalent expression.