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Simplifying 14(3a + 2) = 14 + -3a + -2 Reorder the terms: 14(2 + 3a) = 14 + -3a + -2 (2 * 14 + 3a * 14) = 14 + -3a + -2 (28 + 42a) = 14 + -3a + -2 Reorder the terms: 28 + 42a = 14 + -2 + -3a Combine like terms: 14 + -2 = 12 28 + 42a = 12 + -3a Solving 28 + 42a = 12 + -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. 28 + 42a + 3a = 12 + -3a + 3a Combine like terms: 42a + 3a = 45a 28 + 45a = 12 + -3a + 3a Combine like terms: -3a + 3a = 0 28 + 45a = 12 + 0 28 + 45a = 12 Add '-28' to each side of the equation. 28 + -28 + 45a = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 45a = 12 + -28 45a = 12 + -28 Combine like terms: 12 + -28 = -16 45a = -16 Divide each side by '45'. a = -0.3555555556 Simplifying a = -0.3555555556
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