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Simplifying 3 + 3a + 4(3a + 7) = -2 + 2a Reorder the terms: 3 + 3a + 4(7 + 3a) = -2 + 2a 3 + 3a + (7 * 4 + 3a * 4) = -2 + 2a 3 + 3a + (28 + 12a) = -2 + 2a Reorder the terms: 3 + 28 + 3a + 12a = -2 + 2a Combine like terms: 3 + 28 = 31 31 + 3a + 12a = -2 + 2a Combine like terms: 3a + 12a = 15a 31 + 15a = -2 + 2a Solving 31 + 15a = -2 + 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. 31 + 15a + -2a = -2 + 2a + -2a Combine like terms: 15a + -2a = 13a 31 + 13a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 31 + 13a = -2 + 0 31 + 13a = -2 Add '-31' to each side of the equation. 31 + -31 + 13a = -2 + -31 Combine like terms: 31 + -31 = 0 0 + 13a = -2 + -31 13a = -2 + -31 Combine like terms: -2 + -31 = -33 13a = -33 Divide each side by '13'. a = -2.538461538 Simplifying a = -2.538461538
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