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Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
`5m = 60 (10, 5, 12, 15) `

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To solve the equation \(5m = 60\) and determine which value from the given options (10, 5, 12, 15) satisfies the equation, we will substitute each value into the equation and check if both sides are equal. ### Step-by-Step Solution: 1. **Identify the equation**: We have the equation \(5m = 60\). 2. **Substitute the first value (10)**: - Substitute \(m = 10\) into the equation: \[ 5 \times 10 = 50 \] - Compare with 60: \[ 50 \neq 60 \] - Conclusion: 10 does not satisfy the equation. 3. **Substitute the second value (5)**: - Substitute \(m = 5\) into the equation: \[ 5 \times 5 = 25 \] - Compare with 60: \[ 25 \neq 60 \] - Conclusion: 5 does not satisfy the equation. 4. **Substitute the third value (12)**: - Substitute \(m = 12\) into the equation: \[ 5 \times 12 = 60 \] - Compare with 60: \[ 60 = 60 \] - Conclusion: 12 satisfies the equation. 5. **Substitute the fourth value (15)**: - Substitute \(m = 15\) into the equation: \[ 5 \times 15 = 75 \] - Compare with 60: \[ 75 \neq 60 \] - Conclusion: 15 does not satisfy the equation. ### Final Summary: - The only value that satisfies the equation \(5m = 60\) is \(m = 12\). - The other values (10, 5, and 15) do not satisfy the equation since the left-hand side does not equal the right-hand side.
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