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Rewrite in simplest terms: 
-7(-4t-10 u)+9u-9(-u-6t)
Answer:

Rewrite in simplest terms: 7(4t10u)+9u9(u6t) -7(-4 t-10 u)+9 u-9(-u-6 t) \newlineAnswer:

Full solution

Q. Rewrite in simplest terms: 7(4t10u)+9u9(u6t) -7(-4 t-10 u)+9 u-9(-u-6 t) \newlineAnswer:
  1. Distribute 7-7: First, distribute the 7-7 into the terms inside the first set of parentheses.\newline7×(4t)=28t-7 \times (-4t) = 28t\newline7×(10u)=70u-7 \times (-10u) = 70u\newlineSo the expression becomes 28t+70u+9u9(u6t)28t + 70u + 9u - 9(-u - 6t).
  2. Distribute 9-9: Next, distribute the 9-9 into the terms inside the second set of parentheses.\newline9×(u)=9u-9 \times (-u) = 9u\newline9×(6t)=54t-9 \times (-6t) = 54t\newlineNow the expression is 28t+70u+9u+9u+54t28t + 70u + 9u + 9u + 54t.
  3. Combine like terms: Combine like terms.\newlineFor the t terms: 28t+54t=82t28t + 54t = 82t\newlineFor the u terms: 70u+9u+9u=88u70u + 9u + 9u = 88u\newlineThe expression simplifies to 82t+88u82t + 88u.
  4. Check for common factors: Check for any possible common factors that can be factored out, but in this case, there are none, so the expression is already in its simplest form.

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