Question 628274
{{{-5d-24=-4(d+6)-d}}} Start with the given equation.



{{{-5d-24=-4d-24-d}}} Distribute.



{{{-5d-24=-5d-24}}} Combine like terms on the right side.



{{{-5d=-5d-24+24}}} Add {{{24}}} to both sides.



{{{-5d+5d=-24+24}}} Add {{{5d}}} to both sides.



{{{0d=-24+24}}} Combine like terms on the left side.



{{{0d=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>always</b></font> true for any d value, this means d can equal any number. 



So there are an infinite number of solutions.



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