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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 = 7a 14 + 7a = -19 + -3a + 3a Combine like terms: -3a + 3a = 0 14 + 7a = -19 + 0 14 + 7a = -19 Add '-14' to each side of the equation. 14 + -14 + 7a = -19 + -14 Combine like terms: 14 + -14 = 0 0 + 7a = -19 + -14 7a = -19 + -14 Combine like terms: -19 + -14 = -33 7a = -33 Divide each side by '7'. a = -4.714285714 Simplifying a = -4.714285714
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