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Simplify the expression. Write your answers using integers or improper fractions. (1)/(3)(-12 r+18)-7r Answer:

Simplify the expression. Write your answers using integers or improper fractions.\newline13(−12r+18)−7r \frac{1}{3}(-12 r+18)-7 r \newlineAnswer:

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Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.\newline13(−12r+18)−7r \frac{1}{3}(-12 r+18)-7 r \newlineAnswer:
  1. Distribute fractions: Distribute the 13\frac{1}{3} across the terms inside the parentheses.13(−12r)+13(18)−7r\frac{1}{3}(-12r) + \frac{1}{3}(18) - 7r
  2. Simplify terms: Simplify each term.\newline(13)(−12r)=−4r(\frac{1}{3})(-12r) = -4r\newline(13)(18)=6(\frac{1}{3})(18) = 6\newlineSo the expression becomes −4r+6−7r-4r + 6 - 7r.
  3. Combine like terms: Combine like terms.\newline−4r−7r=−11r-4r - 7r = -11r\newlineSo the expression simplifies to −11r+6-11r + 6.

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