Question 121220
#1




{{{2k+5d=3d-4}}} Start with the given equation




{{{2k=3d-4-5d}}}Subtract 5d from both sides



{{{2k=-2d-4}}} Combine like terms on the right side



{{{k=(-2d-4)/(2)}}} Divide both sides by 2 to isolate k




{{{k=(-2d)/(2)-(4)/(2)}}} Break up the fraction



{{{k=-d-2}}} Reduce



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Answer:

So our answer is {{{k=-d-2}}}





#2 





{{{-4(3a+c)=b}}} Start with the given equation




{{{-12a-4c=b}}} Distribute



{{{-12a=b+4c}}}Add 4c to both sides



{{{a=(b+4c)/(-12)}}} Divide both sides by -12 to isolate a



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Answer:

So our answer is {{{a=(b+4c)/(-12)}}} 






#3





{{{3m-5(m+t)=7(t+q)}}} Start with the given equation




{{{3m-5m-5t=7t+7q}}} Distribute



{{{-2m-5t=7t+7q}}} Combine like terms on the left side



{{{-2m=7t+7q+5t}}}Add 5t to both sides



{{{-2m=12t+7q}}} Combine like terms on the right side



{{{m=(12t+7q)/(-2)}}} Divide both sides by -2 to isolate m



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Answer:

So our answer is {{{m=(12t+7q)/(-2)}}}