Solved on Nov 01, 2023

Determine if the equation g=6g-g = -6 - g is an identity.

STEP 1

Assumptions1. The equation given is g=6g-g=-6-g. . We need to determine if this equation is an identity. An identity is an equation that is true for all values of the variable.

STEP 2

To check if an equation is an identity, we need to simplify it and see if it holds true for all values of the variable. Let's start by simplifying the given equation.
g=6g-g=-6-g

STEP 3

Add gg to both sides of the equation to isolate the variable on one side.
g+g=6g+g-g+g=-6-g+g

STEP 4

implify the equation.
0=60=-6

STEP 5

The equation 0=0=- is not true for any value of gg, so the original equation g=g-g=--g is not an identity.
So, the answer is no, this equation is not an identity.

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