Question

how many solutions does this equation have?
$-16g - 10 = 20 - 15g - g$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Simplify right-hand side

Combine like terms: $20 - 15g - g = 20 - 16g$

Step2: Rewrite original equation

Substitute simplified RHS: $-16g - 10 = 20 - 16g$

Step3: Isolate variable terms

Add $16g$ to both sides: $-16g + 16g - 10 = 20 - 16g + 16g$
Simplify: $-10 = 20$

Step4: Evaluate the result

$-10 = 20$ is a false statement, so the equation has no valid solutions.

Answer:

no solution