To simplify this expression, we need to use the distributive property of multiplication over addition.
We begin by multiplying the coefficient 6 by each of the terms inside the parentheses:
6(1+8b) = 6(1) + 6(8b)
Now we simplify each of those products:
6(1) = 6
6(8b) = 48b
So putting it all together, we have:
6(1+8b) = 6 + 48b
Therefore, the simplified form of the expression 6(1+8b) is 6 + 48b.
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