Respuesta :

Answer:

[tex]-5c[/tex]

Step-by-step explanation:

To find: The sum of [tex]6c-5c[/tex] and opposite of [tex]6c[/tex]

Opposite of [tex]6c[/tex] means taking the opposite sign.

[tex]6c[/tex] is positive. So, opposite sign is [tex]-6c[/tex].

Therefore, the addition is given as:

[tex]=6c-5c+(-6c)[/tex]

Opening the parenthesis, we get:

[tex]6c-5c-6c[/tex]

Now, as per PEDMAS rule, we subtract [tex]6c\ and\ 5c[/tex], we get

[tex]6c-5c=(6-5)c=1c[/tex]

Now, we are left with [tex]1c-6c[/tex]

Subtracting a bigger number from a smaller number will give a negative answer.

So, [tex]1c-6c=(1-6)c=-5c[/tex]

Therefore, the final answer is [tex]-5c[/tex]

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