SOLUTION 6 Show that -0.75(-4f + 12) and (5f + 9) - (2f+ 18) are equivalent expressions.

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asked Aug 18, 2023 46.0k views

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SOLUTION 6 Show that -0.75(-4f + 12) and (5f + 9) - (2f+ 18) are equivalent expressions.

Mathematics
high-school

Luke Garrigan asked

by Luke Garrigan

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$-0.75(-4f+12)\\\\=-\frac 34(-4f +12)\\\\=-\frac 34 \cdot (-4f) - \frac 34\cdot(12)\\\\=3f-9\\\\\\(5f+9)-(2f+18)\\\\=5f+9-2f-18\\\\=3f-9\\\\\text{Hence, the expressions are equivalent.}$

Matt Eskridge answered Aug 23, 2023

by Matt Eskridge

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