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Rewrite in simplest terms: 0.2 f-5(7f+7)

Rewrite in simplest terms: 0.2f−5(7f+7) 0.2 f-5(7 f+7)

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

Full solution

Q. Rewrite in simplest terms: 0.2f−5(7f+7) 0.2 f-5(7 f+7)
  1. Identify Terms: Identify the terms that can be distributed and simplified.\newlineDistribute the −5-5 across the terms inside the parentheses (7f+7)(7f + 7).\newlineCalculation: −5×7f=−35f-5 \times 7f = -35f, −5×7=−35-5 \times 7 = -35.\newlineExpression after distribution: 0.2f−35f−350.2f - 35f - 35.
  2. Distribute and Simplify: Combine like terms in the expression 0.2f−35f−350.2f - 35f - 35. Since 0.2f0.2f and −35f-35f are like terms, we can add them together. Calculation: 0.2f−35f=−34.8f0.2f - 35f = -34.8f. Expression after combining like terms: −34.8f−35-34.8f - 35.
  3. Combine Like Terms: The expression is now simplified to its simplest form.\newlineFinal simplified expression: −34.8f−35-34.8f - 35.

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