Step 1: Problem
Rewrite in simplest terms: -4(-0.7w – 3w + 0.1) - 0.1w
Step 2: Concept and method
Use the associative method to open the bracket.
= -4( -0.7w - 3w + 0.1 ) - 0.1w
= -0.7w(-4) -3w(-4) + 0.1(-4) - 0.1w
= - 2.8w + 12w - 0.4 - 0.1w
Collect like terms
= - 2.8w + 12w - 0.1w - 0.4
= 9.1w - 0.4
Step 3: Final answer
= 9.1w - 0.4
