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Simplify the expression: 13a + 2b - 3c - 7a - 4b + 8b. Assume the last term is 8c.

Mathematics

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To simplify the expression, we need to combine like terms.

The expression given is:

13a+2b−3c−7a−4b+8b13a + 2b - 3c - 7a - 4b + 8b

Upon careful examination of the question and the provided multiple-choice options, it appears there might be a typographical error in the last term. If we strictly interpret the term as 8b8b, the simplified expression would be 6a+6b−3c6a + 6b - 3c, which is not among the given options. However, if we assume that the term 8b8b was intended to be 8c8c (a common visual ambiguity in handwritten questions), then one of the options matches perfectly. We will proceed with the assumption that the last term is 8c8c.

Assuming the expression is:

13a+2b−3c−7a−4b+8c13a + 2b - 3c - 7a - 4b + 8c

Step 1: Group the terms with 'a'.

(13a−7a)(13a - 7a)

Step 2: Group the terms with 'b'.

(2b−4b)(2b - 4b)

Step 3: Group the terms with 'c'.

(−3c+8c)(-3c + 8c)

Step 4: Combine the coefficients for each group.
For 'a' terms:

13a−7a=(13−7)a=6a13a - 7a = (13 - 7)a = 6a

For 'b' terms:

2b−4b=(2−4)b=−2b2b - 4b = (2 - 4)b = -2b

For 'c' terms:

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