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Simplifying -15(6a + 9a + -10a + 10 + -20) = 0 Reorder the terms: -15(10 + -20 + 6a + 9a + -10a) = 0 Combine like terms: 10 + -20 = -10 -15(-10 + 6a + 9a + -10a) = 0 Combine like terms: 6a + 9a = 15a -15(-10 + 15a + -10a) = 0 Combine like terms: 15a + -10a = 5a -15(-10 + 5a) = 0 (-10 * -15 + 5a * -15) = 0 (150 + -75a) = 0 Solving 150 + -75a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -75a = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -75a = 0 + -150 -75a = 0 + -150 Combine like terms: 0 + -150 = -150 -75a = -150 Divide each side by '-75'. a = 2 Simplifying a = 2
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