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If b =-3q-8 and c=2q^2-q-2, find an expression that equals 3b−3c in standard form.

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Final answer:

To find an expression that equals 3b - 3c in standard form, substitute the given values of b and c into the expression and simplify the terms.

Step-by-step explanation:

In order to find an expression that equals 3b - 3c in standard form, we need to substitute the given values of b and c into the expression.

Given that b = -3q - 8 and c = 2q^2 - q - 2, we can substitute these values into the expression:

3b - 3c = 3(-3q - 8) - 3(2q^2 - q - 2)

Simplifying the expression further, we have:

3b - 3c = -9q - 24 - 6q^2 + 3q + 6

Combining like terms, the expression in standard form is:

3b - 3c = -6q^2 - 6q - 18

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