To simplify the expression \(-5(36 - 2a) - 6(a + 26)\), we'll start by distributing the numbers outside the parentheses.
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Distribute \(-5\) to the terms inside the first parentheses: \[ -5(36) + 10a = -180 + 10a \]
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Distribute \(-6\) to the terms inside the second parentheses: \[ -6(a) - 156 = -6a - 156 \]
Now, we can combine both parts of the expression: \[ -180 + 10a - 6a - 156 \]
Combine like terms:
- For the \(a\) terms: \(10a - 6a = 4a\)
- For the constant terms: \(-180 - 156 = -336\)
Putting it all together, we get: \[ 4a - 336 \]
Thus, the simplified expression is: \[ \boxed{4a - 336} \]