$${ \left( \frac{ 3 }{ 7 } \right) }^{ -1 } + { 0.3 }^{ -3 } + { -0.5 }^{ -2 } \times \frac{ 3 }{ 4 } -10 \frac{ 19 }{ 27 }$$
$\frac{95}{3}\approx 31.666666667$
$$\frac{7}{3}+0.3^{-3}+\left(-0.5\right)^{-2}\times \frac{3}{4}-\frac{10\times 27+19}{27}$$
$$\frac{7}{3}+\frac{1000}{27}+\left(-0.5\right)^{-2}\times \frac{3}{4}-\frac{10\times 27+19}{27}$$
$$\frac{1063}{27}+\left(-0.5\right)^{-2}\times \frac{3}{4}-\frac{10\times 27+19}{27}$$
$$\frac{1063}{27}+4\times \frac{3}{4}-\frac{10\times 27+19}{27}$$
$$\frac{1063}{27}+3-\frac{10\times 27+19}{27}$$
$$\frac{1144}{27}-\frac{10\times 27+19}{27}$$
$$\frac{1144}{27}-\frac{270+19}{27}$$
$$\frac{1144}{27}-\frac{289}{27}$$
$$\frac{95}{3}$$
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$\frac{5 \cdot 19}{3} = 31\frac{2}{3} = 31.666666666666668$