How many solutions does this equation have? \( -20-4 j-20 j=-20 j+20 \)

First, let's simplify the equation step by step. Combine like terms on the left side: \[ -20 - 4j - 20j = -20 - 24j \] Now, substitute this back into the equation: \[ -20 - 24j = -20j + 20 \] Next, let's isolate the variable \(j\). Moving the terms involving \(j\) to one side and constants to the other: \[ -24j + 20j = 20 + 20 \] This simplifies to: \[ -4j = 40 \] Now divide both sides by -4: \[ j = -10 \] The equation has exactly one solution, which is \( j = -10 \). To confirm, substituting \( j = -10 \) back into the original equation should hold true! So, congratulations, you've found a unique solution!