Question
What value of B would make the expressions(16k+14)-(13k-2)-(8k+4)) and bk+8 equivalent
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Answered by
GPT 3.5
To make the expressions (16k+14)-(13k-2)-(8k+4)) and bk+8 equivalent, we can set them equal to each other and find the value of B.
So, (16k+14)-(13k-2)-(8k+4)) = bk+8
Expanding the brackets, we get:
16k + 14 - 13k + 2 - 8k - 4 = bk + 8
Combining like terms, we get:
-5k + 12 = bk + 8
To make the expressions equivalent, the coefficients of k must be equal. Therefore:
B = -5
So, B = -5 would make the expressions (16k+14)-(13k-2)-(8k+4)) and bk+8 equivalent.
So, (16k+14)-(13k-2)-(8k+4)) = bk+8
Expanding the brackets, we get:
16k + 14 - 13k + 2 - 8k - 4 = bk + 8
Combining like terms, we get:
-5k + 12 = bk + 8
To make the expressions equivalent, the coefficients of k must be equal. Therefore:
B = -5
So, B = -5 would make the expressions (16k+14)-(13k-2)-(8k+4)) and bk+8 equivalent.
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