Answer: k = "- [tex] \frac{2}{3} [/tex]" ; or, write as: " -0.667 " .
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Given:
(k/2) + 1 - 1k = -2k ;
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Add "1k" to each side of the equation:
(k/2) + 1 - 1k + 1k = -2k + 1k ;
to get:
(k/2) + 1 = -1k ;
Multiply the ENTIRE EQUATION (both sides) by "2" ;
to eliminate the "fraction" ;
2 * [ (k/2) + 1 = -1k ] ;
to get:
k + 2 = -2k ;
Subtract "k" from each side of the equation;
k + 2 - k = -2k - k ;
to get:
2 = -3k ;
↔
-3k = 2 ;
Divide each side of the equation by "-3" ; to isolate "k" on one side of the equation ; & to solve for "k" ;
-3k / 3 = 2/-3 ;
to get:
k = - [tex] \frac{2}{3} [/tex] ; or, write as: " -0.667 "
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