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To apply the Distributive Property, we need to multiply each term inside the parentheses by the number outside the parentheses and combine like terms.
Given expression: 2(a+5)+4(2a+3)−10
Start by distributing the 2 and 4:
2(a+5) = 2a + 10
4(2a+3) = 8a + 12
The expression now becomes:
2a + 10 + 8a + 12 - 10
Combine like terms:
(2a + 8a) + (10 + 12) - 10
Simplify:
10a + 22 - 10
Combine like terms:
10a + 12
So, an equivalent expression would be 10a + 12.