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Simplifying -3(a + 5) + -10(1 + -6a) = 0 Reorder the terms: -3(5 + a) + -10(1 + -6a) = 0 (5 * -3 + a * -3) + -10(1 + -6a) = 0 (-15 + -3a) + -10(1 + -6a) = 0 -15 + -3a + (1 * -10 + -6a * -10) = 0 -15 + -3a + (-10 + 60a) = 0 Reorder the terms: -15 + -10 + -3a + 60a = 0 Combine like terms: -15 + -10 = -25 -25 + -3a + 60a = 0 Combine like terms: -3a + 60a = 57a -25 + 57a = 0 Solving -25 + 57a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 57a = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 57a = 0 + 25 57a = 0 + 25 Combine like terms: 0 + 25 = 25 57a = 25 Divide each side by '57'. a = 0.4385964912 Simplifying a = 0.4385964912
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