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Simplifying 3(2a + 1) + -2 = 2(a + -2) + 3(a + 1) Reorder the terms: 3(1 + 2a) + -2 = 2(a + -2) + 3(a + 1) (1 * 3 + 2a * 3) + -2 = 2(a + -2) + 3(a + 1) (3 + 6a) + -2 = 2(a + -2) + 3(a + 1) Reorder the terms: 3 + -2 + 6a = 2(a + -2) + 3(a + 1) Combine like terms: 3 + -2 = 1 1 + 6a = 2(a + -2) + 3(a + 1) Reorder the terms: 1 + 6a = 2(-2 + a) + 3(a + 1) 1 + 6a = (-2 * 2 + a * 2) + 3(a + 1) 1 + 6a = (-4 + 2a) + 3(a + 1) Reorder the terms: 1 + 6a = -4 + 2a + 3(1 + a) 1 + 6a = -4 + 2a + (1 * 3 + a * 3) 1 + 6a = -4 + 2a + (3 + 3a) Reorder the terms: 1 + 6a = -4 + 3 + 2a + 3a Combine like terms: -4 + 3 = -1 1 + 6a = -1 + 2a + 3a Combine like terms: 2a + 3a = 5a 1 + 6a = -1 + 5a Solving 1 + 6a = -1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1 + 6a + -5a = -1 + 5a + -5a Combine like terms: 6a + -5a = 1a 1 + 1a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + 1a = -1 + 0 1 + 1a = -1 Add '-1' to each side of the equation. 1 + -1 + 1a = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = -1 + -1 1a = -1 + -1 Combine like terms: -1 + -1 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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