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Simplifying -1(5a + 7) + -3(a + -9) = 0 Reorder the terms: -1(7 + 5a) + -3(a + -9) = 0 (7 * -1 + 5a * -1) + -3(a + -9) = 0 (-7 + -5a) + -3(a + -9) = 0 Reorder the terms: -7 + -5a + -3(-9 + a) = 0 -7 + -5a + (-9 * -3 + a * -3) = 0 -7 + -5a + (27 + -3a) = 0 Reorder the terms: -7 + 27 + -5a + -3a = 0 Combine like terms: -7 + 27 = 20 20 + -5a + -3a = 0 Combine like terms: -5a + -3a = -8a 20 + -8a = 0 Solving 20 + -8a = 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 + -8a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8a = 0 + -20 -8a = 0 + -20 Combine like terms: 0 + -20 = -20 -8a = -20 Divide each side by '-8'. a = 2.5 Simplifying a = 2.5
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