Final answer:
To solve the expression (-1/8c+16)-(3/8+3c), distribute the negative sign and combine like terms to simplify the expression. The final answer is 16c+257/8.
Step-by-step explanation:
To solve the expression (-1/8c+16)-(3/8+3c), we can simplify the expression by distributing the negative sign. First, distribute the negative sign to (-3/8-3c):
(-1/8c+16)-(-3/8-3c)
Next, combine like terms and simplify:
=(-1/8c+16)+3/8+3c)
=(-1/8c+3c)+(16+3/8)
= (2c-1/8c)+(129/8)
=(16c+2)+(129/8)
=16c+2+129/8
=16c+257/8