Final answer:
The equivalant expression for (6m + 2n - 1) - (14m + 26n - 31) is -8m - 24n + 30, which unfortunately, doesn't match any of the given choices.
Step-by-step explanation:
The student's question pertains to simplifying a mathematical expression by subtracting one algebraic expression from another. Specifically, the student asked to find an equivalent expression for (6m + 2n - 1) - (14m + 26n - 31). The process to solve this involves subtracting each term in the second expression from the corresponding term in the first expression:
Step 1: Subtract the 'm' terms: 6m - 14m = -8m.
Step 2: Subtract the 'n' terms: 2n - 26n = -24n.
Step 3: Subtract the constants: -1 - (-31) = 30.
The simplified expression is thus -8m - 24n + 30, which matches none of the provided answer choices '(a. 20m + 28n - 32, b. -8m-240 + 30, c. -32m 30, d. 8m + 240 - 30).' It seems there may have been a mistake in the question or the answer choices.
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