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Simplifying 3(a + 4) + -9 = 2a + -12 Reorder the terms: 3(4 + a) + -9 = 2a + -12 (4 * 3 + a * 3) + -9 = 2a + -12 (12 + 3a) + -9 = 2a + -12 Reorder the terms: 12 + -9 + 3a = 2a + -12 Combine like terms: 12 + -9 = 3 3 + 3a = 2a + -12 Reorder the terms: 3 + 3a = -12 + 2a Solving 3 + 3a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 3 + 3a + -2a = -12 + 2a + -2a Combine like terms: 3a + -2a = 1a 3 + 1a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + 1a = -12 + 0 3 + 1a = -12 Add '-3' to each side of the equation. 3 + -3 + 1a = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = -12 + -3 1a = -12 + -3 Combine like terms: -12 + -3 = -15 1a = -15 Divide each side by '1'. a = -15 Simplifying a = -15
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