Fill in all missing terms and select all missing descriptions. Simplify any frac \[ \begin{aligned} -3(5 u+9) & =19 u+7 \\ -15 u-27 & =19 u+7 \\ -34 u-27 & =7 \\ -34 u & =34 \\ u & =-1 \end{aligned} \] Apply the distributive property \( \square \) Add 27 to both sides Divide both sides by -34

To start off, let's apply the distributive property by multiplying -3 with each term inside the parentheses: \(-3(5u + 9)\) becomes \(-15u - 27\). This is a crucial step that allows you to express the equation in its standard form, effectively simplifying your calculations. Next, we move on to the step where we need to add 27 to both sides of the equation. This will help isolate the variable on one side, leading us to the conclusion that \(-34u = 34\). It’s like tidying up an equation to help you see the solution more clearly!