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Bot GPT 3.5 For the expressions to be equivalent, the two expressions must simplify to the same value for any value of k.
To find the value of b that makes these two expressions equivalent, we need to simplify the expressions and compare them.
The expression (16k + 14) - (13k - 2) - (8k + 4) can be simplified as follows:
(16k + 14) - (13k - 2) - (8k + 4) = 16k + 14 - 13k + 2 - 8k - 4
= (16k - 13k - 8k) + (14 + 2 - 4)
= -5k + 12
The expression bk + 8 can be simplified as follows:
bk + 8
To make the two expressions equivalent, we need to set them equal to each other:
-5k + 12 = bk + 8
Now, we can identify the value of b by comparing the coefficients of k on both sides of the equation.
We can see that the coefficient of k on the left side is -5, and the coefficient of k on the right side is b.
Therefore, the value of b that would make the expressions (16k+14)−(13k−2)−(8k+4) and bk+8 equivalent is b = -5.