Q. Rewrite in simplest terms: 3(−6s+4t)+0.8t−3(t−5s)Answer:
Distribute 3 to terms: First, distribute the 3 into the terms inside the first set of parentheses: 3(−6s) and 3(4t). This gives us −18s+12t.
Distribute −3 to terms: Next, distribute the −3 into the terms inside the second set of parentheses: −3(t) and −3(−5s). This gives us −3t+15s.
Combine distributed terms: Now, combine the distributed terms with the remaining term 0.8t. So we have −18s+12t+0.8t−3t+15s.
Combine like terms: Combine like terms. For the s terms: −18s+15s equals −3s. For the t terms: 12t+0.8t−3t equals 9.8t.
Write final expression: Write the final simplified expression by combining the like terms we found in the previous step.The final simplified expression is −3s+9.8t.
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