9 Penure ypaBHeHue (6x)/(17)=-3(3)/(17) OTBer: __

To solve the equation $\frac{6x}{17} = -3\frac{3}{17}$, we need to isolate the variable $x$.<br /><br />First, let's convert the mixed number $-3\frac{3}{17}$ to an improper fraction:<br />$-3\frac{3}{17} = -\frac{54}{17}$<br /><br />Now, we can rewrite the equation as:<br />$\frac{6x}{17} = -\frac{54}{17}$<br /><br />To solve for $x$, we can multiply both sides of the equation by 17 to eliminate the denominator:<br />$6x = -54$<br /><br />Finally, we can divide both sides of the equation by 6 to isolate $x$:<br />$x = -9$<br /><br />Therefore, the solution to the equation $\frac{6x}{17} = -3\frac{3}{17}$ is $x = -9$.