How many solutions does this equation have? \[ 20-8(-2 u+17)=16 u \]

First, let's simplify the equation step-by-step. Start with the equation: \[ 20 - 8(-2u + 17) = 16u \] Distributing the -8 inside the parentheses gives: \[ 20 + 16u - 136 = 16u \] Now, combine like terms: \[ 20 - 136 + 16u = 16u \] This simplifies to: \[ -116 + 16u = 16u \] Now, if we subtract \(16u\) from both sides: \[ -116 = 0 \] This statement is false, meaning there is no value for \(u\) that satisfies the equation. Thus, the equation has no solutions.