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Simplifying -1(6a + 9) + -4(a + -6) = 0 Reorder the terms: -1(9 + 6a) + -4(a + -6) = 0 (9 * -1 + 6a * -1) + -4(a + -6) = 0 (-9 + -6a) + -4(a + -6) = 0 Reorder the terms: -9 + -6a + -4(-6 + a) = 0 -9 + -6a + (-6 * -4 + a * -4) = 0 -9 + -6a + (24 + -4a) = 0 Reorder the terms: -9 + 24 + -6a + -4a = 0 Combine like terms: -9 + 24 = 15 15 + -6a + -4a = 0 Combine like terms: -6a + -4a = -10a 15 + -10a = 0 Solving 15 + -10a = 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 + -10a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -10a = 0 + -15 -10a = 0 + -15 Combine like terms: 0 + -15 = -15 -10a = -15 Divide each side by '-10'. a = 1.5 Simplifying a = 1.5
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