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Simplifying -1(5a + 9) + -3(a + -8) = 0 Reorder the terms: -1(9 + 5a) + -3(a + -8) = 0 (9 * -1 + 5a * -1) + -3(a + -8) = 0 (-9 + -5a) + -3(a + -8) = 0 Reorder the terms: -9 + -5a + -3(-8 + a) = 0 -9 + -5a + (-8 * -3 + a * -3) = 0 -9 + -5a + (24 + -3a) = 0 Reorder the terms: -9 + 24 + -5a + -3a = 0 Combine like terms: -9 + 24 = 15 15 + -5a + -3a = 0 Combine like terms: -5a + -3a = -8a 15 + -8a = 0 Solving 15 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8a = 0 + -15 -8a = 0 + -15 Combine like terms: 0 + -15 = -15 -8a = -15 Divide each side by '-8'. a = 1.875 Simplifying a = 1.875
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