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simplify this expression: \\(4(1 - 2b) + 7b - 10\\). type the correct a…

Question

simplify this expression:

\\(4(1 - 2b) + 7b - 10\\).

type the correct answer in the box.

Explanation:

Apply the distributive property

$$ 4(1 - 2b) = 4 \cdot 1 - 4 \cdot 2b = 4 - 8b $$

Substitute and group like terms

$$ (4 - 8b) + 7b - 10 = -8b + 7b + 4 - 10 $$

Combine like terms

$$ (-8 + 7)b + (4 - 10) = -1b - 6 = -b - 6 $$

Answer:

Simplify this expression:
\(4(1 - 2b) + 7b - 10\).

Type the correct answer in the box.
<blank>\(-b - 6\)</blank>