Question 753931


The instructions are as follows: "Simplify by removing all grouping symbols and combining like terms."

The equation to simplify:

3/5(5n - 4) + 5/8(n + 16)

Thank you.


{{{(3/5)(5n - 4) + (5/8)(n + 16)}}} ------ {{{3(5n - 4)/5 + 5(n + 16)/8}}} 


{{{(8(3)(5n - 4) + 5(5)(n + 16))/40}}} ------ Multiplying by LCD, 40


{{{(24(5n - 4) + 25(n + 16))/40}}}


{{{(120n - 96 + 25n + 400)/40}}}


{{{(120n + 25n - 96 + 400)/40}}}


{{{highlight_green((145n + 304)/40)}}}, or {{{highlight_green((29/8)n + 38/5)}}} 


If it's, {{{(3)/5(5n - 4) + 5/8(n + 16)}}}, then it's a different story. You need to use PARENTHESES, so the problem will be clearer. Additionally, this is not an equation but a rational expression instead, or a fractional expression, to be specific.