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Simplify to create an equivalent expression. -2(-5n+6)+5(2-7n) Choose 1 answer: (A) -2 (B) -25 n+10 (c) -25 n+2 (D) -25 n-2

Simplify to create an equivalent expression.\newline−2(−5n+6)+5(2−7n)-2(-5n+6)+5(2-7n)\newlineChoose 11 answer:\newline(A) −2-2\newline(B) −25n+10-25n+10\newline(C) −25n+2-25n+2\newline(D) −25n−2-25n-2

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Q. Simplify to create an equivalent expression.\newline−2(−5n+6)+5(2−7n)-2(-5n+6)+5(2-7n)\newlineChoose 11 answer:\newline(A) −2-2\newline(B) −25n+10-25n+10\newline(C) −25n+2-25n+2\newline(D) −25n−2-25n-2
  1. Distribute −2-2 across terms: Distribute the −2-2 across the terms inside the first parentheses.\newlineCalculation: −2×−5n=10n-2 \times -5n = 10n and −2×6=−12-2 \times 6 = -12.\newlineSo, −2(−5n+6)-2(-5n+6) becomes 10n−1210n - 12.
  2. Distribute 55 across terms: Distribute the 55 across the terms inside the second parentheses.\newlineCalculation: 5×2=105 \times 2 = 10 and 5×−7n=−35n5 \times -7n = -35n.\newlineSo, 5(2−7n)5(2-7n) becomes 10−35n10 - 35n.
  3. Combine Step 11 and Step 22: Combine the results from Step 11 and Step 22.\newlineCalculation: (10n−12)+(10−35n)(10n - 12) + (10 - 35n).
  4. Combine like terms: Combine like terms.\newlineCalculation: 10n−35n=−25n10n - 35n = -25n and −12+10=−2-12 + 10 = -2.\newlineSo, the expression simplifies to −25n−2-25n - 2.

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