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Answer :
Final answer:
The solution to the equation 5(4m + 1) - 2m = -13 is m = -1 after distributing, combining like terms, and solving for m. So,option (c) is the correct answer.
Explanation:
To solve the equation 5(4m + 1) - 2m = -13, we need to apply the distributive property and then simplify the equation to solve for m.
- Distribute the 5 into the parenthesis: 5 * 4m + 5 * 1 - 2m = -13 which simplifies to 20m + 5 - 2m = -13.
- Combine like terms on the left side of the equation: (20m - 2m) + 5 = -13 simplifies to 18m + 5 = -13.
- Subtract 5 from both sides: 18m = -18.
- Divide both sides by 18 to solve for m: m = -18 / 18, which simplifies to m = -1.
Therefore, the solution to the equation is m = -1, which corresponds to answer option (c).
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