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Which expression is equivalent to the expression below?

3r+8s+r+r+r+r

7r+8s

-r+8s

15 r

7r

Which expression is equivalent to the expression below?\newline3r+8s+r+r+r+r 3 r+8 s+r+r+r+r \newline7r+8s 7 r+8 s \newliner+8s -r+8 s \newline15r 15 r \newline7r 7 r

Full solution

Q. Which expression is equivalent to the expression below?\newline3r+8s+r+r+r+r 3 r+8 s+r+r+r+r \newline7r+8s 7 r+8 s \newliner+8s -r+8 s \newline15r 15 r \newline7r 7 r
  1. Identify Like Terms: Identify like terms in the expression 3r+8s+r+r+r+r3r+8s+r+r+r+r. The like terms are all the terms containing 'rr'.
  2. Combine Like Terms: Combine the like terms that contain rr.3r+r+r+r+r=3r+1r+1r+1r+1r=7r3r + r + r + r + r = 3r + 1r + 1r + 1r + 1r = 7r
  3. Rewrite Expression: Rewrite the expression with the combined like terms.\newlineThe expression becomes 7r+8s7r + 8s.
  4. Compare with Options: Compare the resulting expression with the given options. The expression 7r+8s7r + 8s matches one of the given options exactly.

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