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Simplifying 3(a + 4) + -2a + 7 = 0 Reorder the terms: 3(4 + a) + -2a + 7 = 0 (4 * 3 + a * 3) + -2a + 7 = 0 (12 + 3a) + -2a + 7 = 0 Reorder the terms: 12 + 7 + 3a + -2a = 0 Combine like terms: 12 + 7 = 19 19 + 3a + -2a = 0 Combine like terms: 3a + -2a = 1a 19 + 1a = 0 Solving 19 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1a = 0 + -19 1a = 0 + -19 Combine like terms: 0 + -19 = -19 1a = -19 Divide each side by '1'. a = -19 Simplifying a = -19
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