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Simplify 12a+26b4b16a12a + 26b -4b – 16a.

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Q. Simplify 12a+26b4b16a12a + 26b -4b – 16a.
  1. Combine like terms: Combine like terms.\newlineWe have two terms with aa and two terms with bb. We will combine these terms by adding or subtracting the coefficients.\newline12a16a=4a12a - 16a = -4a (combining a'a terms)\newline26b4b=22b26b - 4b = 22b (combining b'b terms)
  2. Write simplified expression: Write the simplified expression.\newlineAfter combining like terms, we get the simplified expression:\newline4a+22b-4a + 22b
  3. Check common factors: Check for any common factors.\newlineWe look for any common factors between 4a-4a and 22b22b. The numbers 44 and 2222 have a common factor of 22.
  4. Factor out common factor: Factor out the common factor.\newlineWe factor out the common factor of 22 from both terms:\newline2(2a+11b)2(-2a + 11b)
  5. Write final factored expression: Write the final factored expression.\newlineThe final factored expression is:\newline2(2a+11b)2(-2a + 11b)