This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To simplify the expression, we need to combine like terms. The expression given is: 13a + 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 8b, the simplified expression would be 6a + 6b - 3c, which is not among the given options. However, if we assume that the term 8b was intended to be 8c (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 8c. Assuming the expression is: 13a + 2b - 3c - 7a - 4b + 8c Step 1: Group the terms with 'a'. (13a - 7a) Step 2: Group the terms with 'b'. (2b - 4b) Step 3: Group the terms with 'c'. (-3c + 8c) Step 4: Combine the coefficients for each group. For 'a' terms: 13a - 7a = (13 - 7)a = 6a For 'b' terms: 2b - 4b = (2 - 4)b = -2b For 'c' terms: -3c + 8c