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Simplifying 3(a + 1) + 2a = -1(3a + 5) + 8 Reorder the terms: 3(1 + a) + 2a = -1(3a + 5) + 8 (1 * 3 + a * 3) + 2a = -1(3a + 5) + 8 (3 + 3a) + 2a = -1(3a + 5) + 8 Combine like terms: 3a + 2a = 5a 3 + 5a = -1(3a + 5) + 8 Reorder the terms: 3 + 5a = -1(5 + 3a) + 8 3 + 5a = (5 * -1 + 3a * -1) + 8 3 + 5a = (-5 + -3a) + 8 Reorder the terms: 3 + 5a = -5 + 8 + -3a Combine like terms: -5 + 8 = 3 3 + 5a = 3 + -3a Add '-3' to each side of the equation. 3 + -3 + 5a = 3 + -3 + -3a Combine like terms: 3 + -3 = 0 0 + 5a = 3 + -3 + -3a 5a = 3 + -3 + -3a Combine like terms: 3 + -3 = 0 5a = 0 + -3a 5a = -3a Solving 5a = -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. 5a + 3a = -3a + 3a Combine like terms: 5a + 3a = 8a 8a = -3a + 3a Combine like terms: -3a + 3a = 0 8a = 0 Divide each side by '8'. a = 0 Simplifying a = 0
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