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Chapter 1: Problem 64

Simplify each algebraic expression. $$11(6 a+3 b)+4(12 a+5 b)$$

Short Answer

Expert verified
\[114a + 53b\]

Step by step solution

01

Expand using distributive property

Distribute the number outside the brackets across the terms inside the brackets. For every term;\(11(6a+3b) = 66a + 33b\),\(4(12a+5b) = 48a + 20b\).
02

Combine like terms

Now add up the similar terms obtained after expanding;\(66a + 48a = 114a\), \(33b + 20b = 53b\).
03

Final simplified expression

Combine the added terms above to get the simplified expression;Final answer is \(114a + 53b\).

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