$$ \left(-3 x^{2}+5 x-2\right)-2\left(x^{2}-2 x-1\right) $$ If the expression above is rewritten in the form $$ a x^{2}+b x+c $$, where $$ a, b $$, and $$ c $$ are constants, what is the value of $$ b $$ ? 30 ?

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$$
\text{Step 1: Distribute } -2 \text{ over } \left(x^2-2x-1\right):
$$

$$
-2\left(x^2-2x-1\right) = -2x^2 + 4x + 2
$$

$$
\text{Step 2: Write the entire expression:}
$$

$$
\left(-3x^2 + 5x - 2\right) + \left(-2x^2 + 4x + 2\right)
$$

$$
\text{Step 3: Combine like terms.}
$$

$$
\text{Combine the } x^2 \text{ terms: } -3x^2 - 2x^2 = -5x^2 
$$

$$
\text{Combine the } x \text{ terms: } 5x + 4x = 9x
$$

$$
\text{Combine the constant terms: } -2 + 2 = 0
$$

$$
\text{The simplified expression is: } -5x^2 + 9x + 0
$$

$$
\text{Step 4: Identify the coefficients in } ax^2 + bx + c:
$$

$$
a = -5,\quad b = 9,\quad c = 0
$$

$$
\text{Thus, the value of } b \text{ is } 9.
$$
The value of $$ b $$ is 9.

\[ \left(-3 x^{2}+5 x-2\right)-2\left(x^{2}-2 x-1\right) \] If the expression above is rewritten in the form \( a x^{2}+b x+c \), where \( a, b \), and \( c \) are constants, what is the value of \( b \) ? 30 ?

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