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To apply the associative property, we group terms that involve the same variable together. We can also combine like terms to simplify the expression.
Let's start with 2(a + 5) + 4(2a + 3 - 10):
First, simplify the expression within the parentheses:
2(a + 5) + 4(2a - 7)
Now, distribute the coefficients to each term inside the parentheses:
2a + 10 + 8a - 28
Next, combine like terms:
(2a + 8a) + (10 - 28)
10a - 18
So, the expression equivalent to 2(a + 5) + 4(2a + 3 - 10) is 10a - 18.