Let's simplify: $2\times \left(-3\right)+\frac{3}{-2}-\frac{2}{-\sqrt{16}}$

ⓘ Multiplications are done before additions and subtractions. A single minus sign does not cancel out, the product of a negative number by a positive number is negative: $2\times \left(-3\right)$ = $-6$■The sign of a fraction goes in front of the bar, whether it comes from the numerator or the denominator: $\frac{3}{-2}$ = $-\frac{3}{2}$■Two minus signs cancel out: $-\frac{2}{-\sqrt{16}}$ = $\frac{2}{\sqrt{16}}$

$-6-\frac{3}{2}+\frac{2}{\sqrt{16}}$

ⓘ To add fractions, put them over the same denominator, then add the numerators: $-6-\frac{3}{2}$ = $\frac{2\times \left(-6\right)-3}{2}$■The square root of a number is the positive number whose square is that number: $\sqrt{16}$ = $4$; $4^2$ = $16$

$\frac{2\times \left(-6\right)-3}{2}+\frac{2}{4}$

ⓘ Multiplications are done before additions and subtractions. A single minus sign does not cancel out, the product of a negative number by a positive number is negative: $2\times \left(-6\right)$ = $-12$■We simplify the fraction by dividing the numerator and the denominator by $2$, their greatest common divisor: $\frac{2}{4}$ = $\frac{1\times 2}{2\times 2}$ = $\frac{1}{2}$

$\frac{-12-3}{2}+\frac{1}{2}$

ⓘ The numerator and the denominator are computed before the division: $-12-3$ = $-15$

$-\frac{15}{2}+\frac{1}{2}$

ⓘ To add fractions, put them over the same denominator, then add the numerators: $-\frac{15}{2}+\frac{1}{2}$ = $\frac{-15+1}{2}$

$\frac{-15+1}{2}$

ⓘ The numerator and the denominator are computed before the division: $-15+1$ = $-14$

$-\frac{14}{2}$

ⓘ We simplify the fraction by dividing the numerator and the denominator by $2$, their greatest common divisor: $-\frac{14}{2}$ = $-7$

▶Simplified form:   $-7$