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Rewrite in simplest terms: 
-2(0.9 m+0.4 n)+7n-8(-0.4 n-0.6 m)
Answer:

Rewrite in simplest terms: 2(0.9m+0.4n)+7n8(0.4n0.6m) -2(0.9 m+0.4 n)+7 n-8(-0.4 n-0.6 m) \newlineAnswer:

Full solution

Q. Rewrite in simplest terms: 2(0.9m+0.4n)+7n8(0.4n0.6m) -2(0.9 m+0.4 n)+7 n-8(-0.4 n-0.6 m) \newlineAnswer:
  1. Distribute 2-2 into terms: Distribute the 2-2 into the terms inside the first set of parentheses: 2(0.9m+0.4n)-2(0.9m + 0.4n).\newlineCalculation: 2×0.9m=1.8m-2 \times 0.9m = -1.8m and 2×0.4n=0.8n-2 \times 0.4n = -0.8n.\newlineSo, the expression becomes: 1.8m0.8n+7n8(0.4n0.6m)-1.8m - 0.8n + 7n - 8(-0.4n - 0.6m).
  2. Distribute 8-8 into terms: Distribute the 8-8 into the terms inside the second set of parentheses: 8(0.4n0.6m)-8(-0.4n - 0.6m).\newlineCalculation: 8×0.4n=3.2n-8 \times -0.4n = 3.2n and 8×0.6m=4.8m-8 \times -0.6m = 4.8m.\newlineSo, the expression now becomes: 1.8m0.8n+7n+3.2n+4.8m-1.8m - 0.8n + 7n + 3.2n + 4.8m.
  3. Combine like terms: Combine like terms: 1.8m-1.8m with 4.8m4.8m and 0.8n-0.8n with 7n7n and 3.2n3.2n.\newlineCalculation: 1.8m+4.8m=3m-1.8m + 4.8m = 3m and 0.8n+7n+3.2n=9.4n-0.8n + 7n + 3.2n = 9.4n.\newlineSo, the expression now becomes: 3m+9.4n3m + 9.4n.

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