The three consecutive integers are -16, -14, -12.
Step-by-step explanation:
Let the three consecutive even integers be;
x, x+2, x+4
According to given statement;
[tex]x+(x+4)=x+2+(-14)\\x+x+4=x+2-14\\2x+4=x-12\\\\2x-x=-12-4\\x=-16[/tex]
The values are as follow;
[tex]-16,\ -16+2,\ -16+4\\-16, -14, -12[/tex]
The three consecutive integers are -16, -14, -12.
Keywords: Consecutive, integers, linear equation.
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