Answer :

GinnyAnswer
To rewrite the expression [tex]\( 0.2 f - 5(7 f + 7) \)[/tex] in its simplest terms, let's follow these steps:

1. Distribute the -5 across the terms inside the parentheses:

[tex]\[ 0.2 f - 5(7 f + 7) = 0.2 f - 5 \cdot 7 f - 5 \cdot 7 \][/tex]

Simplifying the multiplications:

[tex]\[ 0.2 f - 35 f - 35 \][/tex]

2. Combine the like terms [tex]\(0.2 f\)[/tex] and [tex]\(-35 f\)[/tex]:

[tex]\[ 0.2 f - 35 f = (0.2 - 35) f = -34.8 f \][/tex]

3. Put it all together:

[tex]\[ -34.8 f - 35 \][/tex]

Thus, the simplified form of the given expression is:
[tex]\[ -34.8 f - 35 \][/tex]

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