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Select the expressions that are equivalent to 2(7r+8)+7r. {:[14 r+16],[16 r+21],[21 r+8],[2(6r+r+8)+7r]:}

Select the expressions that are equivalent to 2(7r+8)+7r 2(7 r+8)+7 r .\newline14r+1616r+2121r+82(6r+r+8)+7r \begin{array}{c} 14 r+16 \\ 16 r+21 \\ 21 r+8 \\ 2(6 r+r+8)+7 r \end{array}

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Full solution

Q. Select the expressions that are equivalent to 2(7r+8)+7r 2(7 r+8)+7 r .\newline14r+1616r+2121r+82(6r+r+8)+7r \begin{array}{c} 14 r+16 \\ 16 r+21 \\ 21 r+8 \\ 2(6 r+r+8)+7 r \end{array}
  1. Distribute and Simplify: First, distribute the 22 into the parentheses: 2×7r+2×82 \times 7r + 2 \times 8. This gives us 14r+1614r + 16.
  2. Combine Like Terms: Now, add the extra 7r7r to the result of the distribution: 14r+16+7r14r + 16 + 7r.
  3. Final Simplified Expression: Combine like terms: 14r+7r=21r14r + 7r = 21r. So we have 21r+1621r + 16.
  4. Check Answer Choices: Check the answer choices to see which one matches our result.\newlineThe expression 21r+1621r + 16 is equivalent to 2(7r+8)+7r2(7r+8)+7r.

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