Question 72928
Given:
.
0=5(k+9)
. 
First do the distributive multiplication on the right side to get:
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0 = 5*k + 5*9 = 5x + 45
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Then subtract 45 to eliminate the 45 on the right side.  The result of this subtraction
is:
.
-45 = 5k
.
Finally transpose sides and then divide both sides by 5 to solve for k.  The answer is:
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{{{5k/5 = -45/5}}}
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which reduces to:
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{{{k = -9}}}
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You might have been able to spot the solution earlier too.  For the given equation to
be true, 5 has to be multiplied by zero to equal zero.  Therefore you can say that
the quantity (k + 9) has to equal zero and this means that k has to equal -9.
.
.
Hope this helps you to understand the method of solving algebraic equations such as this one.