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Expand and simplify 3(2a + 5) + 5(a – 2)

Question

Expand and simplify 3(2a + 5) + 5(a – 2)

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Solution

Step 1: Distribute the 3 across the terms in the first parentheses and the 5 across the terms in the second parentheses.

3 * 2a + 3 * 5 + 5 * a - 5 * 2

Step 2: Simplify the multiplication.

6a + 15 + 5a - 10

Step 3: Combine like terms.

(6a + 5a) + (15 - 10)

Step 4: Simplify the addition.

11a + 5

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