Simplify the expression 3(2a + 5) − 2(a − 4).
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Worked Solution
Step 1: Expand 3(2a + 5).
3 × 2a = 6a
3 × 5 = 15
Result: 6a + 15
Step 2: Expand −2(a − 4). Multiply each term inside by −2.
−2 × a = −2a
−2 × (−4) = +8
Result: −2a + 8
Step 3: Combine the expanded expressions.
6a + 15 − 2a + 8
Step 4: Collect like terms.
a terms: 6a − 2a = 4a
Constants: 15 + 8 = 23
Final answer: 4a + 23
Correct answer: 4a + 23
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