Simplify 6(3q−4)+18−12q−7(4q+5)

6
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3
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4
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18

12
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7
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4
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5
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.(1 point)....

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To simplify the expression \( 6(3q - 4) + 18 - 12q - 7(4q + 5) \), we'll follow the order of operations:

  1. Distribute the terms:
    • \( 6(3q - 4) = 18q - 24 \)
    • \( -7(4q + 5) = -28q - 35 \)

Now we substitute these back into the expression:

\[ 18q - 24 + 18 - 12q - 28q - 35 \]

  1. Combine like terms:
    • For the \( q \) terms: \( 18q - 12q - 28q = (18 - 12 - 28)q = -22q \)
    • For the constant terms: \( -24 + 18 - 35 = -24 + 18 - 35 = -41 \)

Putting it all together, we get:

\[ -22q - 41 \]

Thus, the simplified expression is:

\[ \boxed{-22q - 41} \]