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Simplifying 4(a + 3) + 2 = 3a + -19 Reorder the terms: 4(3 + a) + 2 = 3a + -19 (3 * 4 + a * 4) + 2 = 3a + -19 (12 + 4a) + 2 = 3a + -19 Reorder the terms: 12 + 2 + 4a = 3a + -19 Combine like terms: 12 + 2 = 14 14 + 4a = 3a + -19 Reorder the terms: 14 + 4a = -19 + 3a Solving 14 + 4a = -19 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 14 + 4a + -3a = -19 + 3a + -3a Combine like terms: 4a + -3a = 1a 14 + 1a = -19 + 3a + -3a Combine like terms: 3a + -3a = 0 14 + 1a = -19 + 0 14 + 1a = -19 Add '-14' to each side of the equation. 14 + -14 + 1a = -19 + -14 Combine like terms: 14 + -14 = 0 0 + 1a = -19 + -14 1a = -19 + -14 Combine like terms: -19 + -14 = -33 1a = -33 Divide each side by '1'. a = -33 Simplifying a = -33
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