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Simplifying 3(a + -2) + 2(a + 9) = a + 6 Reorder the terms: 3(-2 + a) + 2(a + 9) = a + 6 (-2 * 3 + a * 3) + 2(a + 9) = a + 6 (-6 + 3a) + 2(a + 9) = a + 6 Reorder the terms: -6 + 3a + 2(9 + a) = a + 6 -6 + 3a + (9 * 2 + a * 2) = a + 6 -6 + 3a + (18 + 2a) = a + 6 Reorder the terms: -6 + 18 + 3a + 2a = a + 6 Combine like terms: -6 + 18 = 12 12 + 3a + 2a = a + 6 Combine like terms: 3a + 2a = 5a 12 + 5a = a + 6 Reorder the terms: 12 + 5a = 6 + a Solving 12 + 5a = 6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12 + 5a + -1a = 6 + a + -1a Combine like terms: 5a + -1a = 4a 12 + 4a = 6 + a + -1a Combine like terms: a + -1a = 0 12 + 4a = 6 + 0 12 + 4a = 6 Add '-12' to each side of the equation. 12 + -12 + 4a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 6 + -12 4a = 6 + -12 Combine like terms: 6 + -12 = -6 4a = -6 Divide each side by '4'. a = -1.5 Simplifying a = -1.5
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