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What is the value of m in the equation?

5m − 7 = 6m + 11

Group of answer choices

18

−18

−1

1 answer

To find the value of \( m \) in the equation \( 5m - 7 = 6m + 11 \), we can follow these steps:

  1. Start by isolating the variable \( m \). To do this, first move all terms involving \( m \) to one side of the equation and constant terms to the other side.

    Subtract \( 5m \) from both sides: \[ -7 = 6m - 5m + 11 \] Which simplifies to: \[ -7 = m + 11 \]

  2. Now, subtract 11 from both sides to solve for \( m \): \[ -7 - 11 = m \] This simplifies to: \[ -18 = m \]

Thus, the value of \( m \) is \( -18 \).

The answer is: −18.