Add 10 to both sides to get rid of −10, so that 10g is alone on the left side of the equation.

5g − 10
=
−5g − 6
+
5g
+
5g

10g − 10
=
−6
+
10
+
10

=

1 answer

Let's start with the equation you provided and follow the steps to isolate \( 10g \).

The equation is: \[ 5g - 10 = -5g - 6 \]

Step 1: Add 10 to both sides

\[ (5g - 10) + 10 = (-5g - 6) + 10 \] This simplifies to: \[ 5g = -5g + 4 \]

Step 2: Add \( 5g \) to both sides

\[ 5g + 5g = -5g + 4 + 5g \] This simplifies to: \[ 10g = 4 \]

So, \[ 10g = 4 \]

If you're looking for the final numerical value, you have successfully isolated \( 10g \) and can conclude that: \[ 10g = 4 \]

So the final answer is \( 4 \).