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Simplifying -3(a + 3) + -6 = 2(4a + 5) + 8 Reorder the terms: -3(3 + a) + -6 = 2(4a + 5) + 8 (3 * -3 + a * -3) + -6 = 2(4a + 5) + 8 (-9 + -3a) + -6 = 2(4a + 5) + 8 Reorder the terms: -9 + -6 + -3a = 2(4a + 5) + 8 Combine like terms: -9 + -6 = -15 -15 + -3a = 2(4a + 5) + 8 Reorder the terms: -15 + -3a = 2(5 + 4a) + 8 -15 + -3a = (5 * 2 + 4a * 2) + 8 -15 + -3a = (10 + 8a) + 8 Reorder the terms: -15 + -3a = 10 + 8 + 8a Combine like terms: 10 + 8 = 18 -15 + -3a = 18 + 8a Solving -15 + -3a = 18 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -15 + -3a + -8a = 18 + 8a + -8a Combine like terms: -3a + -8a = -11a -15 + -11a = 18 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + -11a = 18 + 0 -15 + -11a = 18 Add '15' to each side of the equation. -15 + 15 + -11a = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -11a = 18 + 15 -11a = 18 + 15 Combine like terms: 18 + 15 = 33 -11a = 33 Divide each side by '-11'. a = -3 Simplifying a = -3
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