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-15 + 4/5 ( 15e - 10 ) - 10e

2e - 23

2e + 23

-2e + 23

-2e - 23

1 answer

To simplify the expression \(-15 + \frac{4}{5} (15e - 10) - 10e\):

  1. Distribute \(\frac{4}{5}\): \[ \frac{4}{5} (15e - 10) = \frac{4}{5} \cdot 15e - \frac{4}{5} \cdot 10 = 12e - 8 \]

  2. Substituting back into the original expression: \[ -15 + (12e - 8) - 10e \] This simplifies to: \[ -15 + 12e - 8 - 10e \]

  3. Combine like terms:

    • The \(e\) terms: \(12e - 10e = 2e\)
    • The constant terms: \(-15 - 8 = -23\)

  4. Final expression: \[ 2e - 23 \]

Thus, the answer is \(2e - 23\).