Q. Rewrite in simplest terms: −2(0.9m+0.4n)+7n−8(−0.4n−0.6m)Answer:
Distribute −2 into terms: Distribute the −2 into the terms inside the first set of parentheses: −2(0.9m+0.4n).Calculation: −2×0.9m=−1.8m and −2×0.4n=−0.8n.So, the expression becomes: −1.8m−0.8n+7n−8(−0.4n−0.6m).
Distribute −8 into terms: Distribute the −8 into the terms inside the second set of parentheses: −8(−0.4n−0.6m).Calculation: −8×−0.4n=3.2n and −8×−0.6m=4.8m.So, the expression now becomes: −1.8m−0.8n+7n+3.2n+4.8m.
Combine like terms: Combine like terms: −1.8m with 4.8m and −0.8n with 7n and 3.2n.Calculation: −1.8m+4.8m=3m and −0.8n+7n+3.2n=9.4n.So, the expression now becomes: 3m+9.4n.
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