Question 155618
# 1




{{{6-1(3t+4)=-17}}} Start with the given equation.



{{{6-3t-4=-17}}} Distribute.



{{{2-3t=-17}}} Combine like terms on the left side.



{{{-3t=-17-2}}} Subtract {{{2}}} from both sides.



{{{-3t=-19}}} Combine like terms on the right side.



{{{t=(-19)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{t}}}.



{{{t=19/3}}} Reduce.



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Answer:


So the answer is {{{t=19/3}}} which approximates to {{{t=6.333}}}. 



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# 2




{{{(5/7)p-10=30}}} Start with the given equation.



{{{7((5/cross(7))p-10)=7(30)}}} Multiply both sides by the LCD {{{7}}} to clear any fractions.



{{{5p-70=210}}} Distribute and multiply.



{{{5p=210+70}}} Add {{{70}}} to both sides.



{{{5p=280}}} Combine like terms on the right side.



{{{p=(280)/(5)}}} Divide both sides by {{{5}}} to isolate {{{p}}}.



{{{p=56}}} Reduce.



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Answer:


So the answer is {{{p=56}}} 



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# 3


What do you want to solve for: "n" or "k"?