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Step by Step solution:

Step 1:multiply by 1/-7 the whole equation

(1/-7)[133] = (1/-7)[-7(1-4k)] ==> 133/-7 = (1-4k) ==> -19 = (1-4k)

Step 2: add -1 the whole equation

-19-1 = -1+1 -4k ==> -20= -4k

Step 3: multiply by (1/-4) the whole equation

(1/-4)(-20)= (1/-4)(-4k) -20/-4=(-4/-4)k

5=k o k=5 

Hi Judy... I think you can do this...

First, multiply the -7 times each term inside the parentheses (-7*1, then -7*-4k)

Add the opposite sign of what doesn't have a "k" in it, such as -7, to both sides of the equation.  So if you have a -7, then add +7 to that, and to the other side of the equation.

Divide all terms, on both sides of the equation, with whatever coefficient (multiplier) there is for "k", to get "k" to be by itself.... then you have your answer!  For example, if I have 140 = 28k, then divide both the 140 and the 28k by 28.  That leaves you with 1K (or just k) = 5