apply the associative and commutative properties to generate an expression equivalent to 2 (a plus 5) plus 4 (2a plus 3) - 10
First, let's expand the expression following the given order of operations:
2(a + 5) + 4(2a + 3) - 10
Using the distributive property:
2 * a + 2 * 5 + 4 * 2a + 4 * 3 - 10
Simplifying:
2a + 10 + 8a + 12 - 10
Combining like terms:
(2a + 8a) + (10 + 12 - 10)
10a + 22
So, the expression equivalent to 2(a + 5) + 4(2a + 3) - 10 is 10a + 22.