Simplify the following expression by combining like terms:
`-7\left(n+3\right)-8\left(1+8n\right)-6m`
To simplify the expression, we multiply each term inside the parentheses with the coefficient outside the parentheses.
Starting with the first term:
-7(n+3) = -7n - 21
Next, the second term:
-8(1+8n) = -8 - 64n = -8 - 64n
Finally, we have the term -6m.
Combining all the simplified terms, we have:
-7n - 21 - 8 - 64n - 6m
Simplifying further, we can combine the like terms -7n and -64n:
-71n - 29 - 6m
To simplify the given expression:
We will start by distributing the negative 7 to the terms inside the first parentheses and the negative 8 to the terms inside the second parentheses.
`-7(n + 3) - 8(1 + 8n) - 6m`
Expanding the first parentheses:
`-7n - 7(3) - 8(1 + 8n) - 6m`
`-7n - 21 - 8(1 + 8n) - 6m`
Expanding the second parentheses:
`-7n - 21 - 8(1) - 8(8n) - 6m`
`-7n - 21 - 8 - 64n - 6m`
Combining like terms:
`(-7n - 64n) + (-21 - 8) - 6m`
`-71n - 29 - 6m`
Therefore, the simplified expression is `-71n - 29 - 6m`.