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Simplifying -1(6a + 9) + -3(a + -8) = 0 Reorder the terms: -1(9 + 6a) + -3(a + -8) = 0 (9 * -1 + 6a * -1) + -3(a + -8) = 0 (-9 + -6a) + -3(a + -8) = 0 Reorder the terms: -9 + -6a + -3(-8 + a) = 0 -9 + -6a + (-8 * -3 + a * -3) = 0 -9 + -6a + (24 + -3a) = 0 Reorder the terms: -9 + 24 + -6a + -3a = 0 Combine like terms: -9 + 24 = 15 15 + -6a + -3a = 0 Combine like terms: -6a + -3a = -9a 15 + -9a = 0 Solving 15 + -9a = 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 + -9a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9a = 0 + -15 -9a = 0 + -15 Combine like terms: 0 + -15 = -15 -9a = -15 Divide each side by '-9'. a = 1.666666667 Simplifying a = 1.666666667
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