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simplify the expression: -4f + -3 + -3f + -5f - 7

Question

simplify the expression: -4f + -3 + -3f + -5f - 7

Explanation:

Step1: Combine like terms for \( f \)

We have \(-4f\), \(-3f\), and \(-5f\). To combine them, we add their coefficients: \(-4 + (-3) + (-5)\).
\(-4 + (-3) = -7\), and \(-7 + (-5) = -12\). So the terms with \( f \) combine to \(-12f\).

Step2: Combine constant terms

We have \(-3\) and \(-7\). Adding them together: \(-3 + (-7) = -10\).

Step3: Combine the results

Now we combine the combined \( f \) terms and the combined constant terms. So the simplified expression is \(-12f - 10\).

Answer:

\(-12f - 10\)