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Simplifying 5(3a + -2) + -1(4a + 10) = 0 Reorder the terms: 5(-2 + 3a) + -1(4a + 10) = 0 (-2 * 5 + 3a * 5) + -1(4a + 10) = 0 (-10 + 15a) + -1(4a + 10) = 0 Reorder the terms: -10 + 15a + -1(10 + 4a) = 0 -10 + 15a + (10 * -1 + 4a * -1) = 0 -10 + 15a + (-10 + -4a) = 0 Reorder the terms: -10 + -10 + 15a + -4a = 0 Combine like terms: -10 + -10 = -20 -20 + 15a + -4a = 0 Combine like terms: 15a + -4a = 11a -20 + 11a = 0 Solving -20 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 11a = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 11a = 0 + 20 11a = 0 + 20 Combine like terms: 0 + 20 = 20 11a = 20 Divide each side by '11'. a = 1.818181818 Simplifying a = 1.818181818
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