Solve for g: 6g + g - 5g = 36.

Step-by-step solution

1. 1

   Simplify the left side before solving. All three terms are multiples of $g$, so they merge into one. Attempting to divide by anything first would be premature — there is nothing to divide by yet.

2. 2

   Read the middle coefficient correctly. The bare $g$ means $1g$; treating it as $0$ is the classic slip that turns the answer into $36$ instead of $18$.

3. 3

   Add the coefficients.

   $6+1-5=2\qquad\Longrightarrow\qquad 6g+g-5g=2g$

   so the equation is

   $2g=36$

4. 4

   Divide both sides by 2.

   $g=\frac{36}{2}=18$

5. 5

   Verify in the original equation. Substituting $g=18$: $6(18)+18-5(18)=108+18-90=36$ ✓, which matches the right side exactly. As a second check, the simplified form gives $2(18)=36$ ✓.