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Simplifying -1(5a + 6) = 2(3a + 6) Reorder the terms: -1(6 + 5a) = 2(3a + 6) (6 * -1 + 5a * -1) = 2(3a + 6) (-6 + -5a) = 2(3a + 6) Reorder the terms: -6 + -5a = 2(6 + 3a) -6 + -5a = (6 * 2 + 3a * 2) -6 + -5a = (12 + 6a) Solving -6 + -5a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -6 + -5a + -6a = 12 + 6a + -6a Combine like terms: -5a + -6a = -11a -6 + -11a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + -11a = 12 + 0 -6 + -11a = 12 Add '6' to each side of the equation. -6 + 6 + -11a = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -11a = 12 + 6 -11a = 12 + 6 Combine like terms: 12 + 6 = 18 -11a = 18 Divide each side by '-11'. a = -1.636363636 Simplifying a = -1.636363636
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