solve for d.\n1.8(6.4d + 4) = 1.6(8.3d + 6.7)\nd =

solve for d.\n1.8(6.4d + 4) = 1.6(8.3d + 6.7)\nd =

solve for d.\n1.8(6.4d + 4) = 1.6(8.3d + 6.7)\nd =

Answer

Explanation:

Step1: Expand both sides

$$ \begin{align*} 1.8\times6.4d+1.8\times4&=1.6\times8.3d + 1.6\times6.7\ 11.52d + 7.2&=13.28d+10.72 \end{align*} $$

Step2: Move terms with (d) to one side

Subtract (11.52d) from both sides: $$ \begin{align*} 11.52d + 7.2-11.52d&=13.28d+10.72 - 11.52d\ 7.2&=1.76d+10.72 \end{align*} $$

Step3: Isolate the term with (d)

Subtract (10.72) from both sides: $$ \begin{align*} 7.2-10.72&=1.76d+10.72-10.72\

  • 3.52&=1.76d \end{align*} $$

Step4: Solve for (d)

Divide both sides by (1.76): $$d=\frac{-3.52}{1.76}=- 2$$

Answer:

(-2)