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Simplifying 3(a + 2) = 2(a + 3) + -8 Reorder the terms: 3(2 + a) = 2(a + 3) + -8 (2 * 3 + a * 3) = 2(a + 3) + -8 (6 + 3a) = 2(a + 3) + -8 Reorder the terms: 6 + 3a = 2(3 + a) + -8 6 + 3a = (3 * 2 + a * 2) + -8 6 + 3a = (6 + 2a) + -8 Reorder the terms: 6 + 3a = 6 + -8 + 2a Combine like terms: 6 + -8 = -2 6 + 3a = -2 + 2a Solving 6 + 3a = -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. 6 + 3a + -2a = -2 + 2a + -2a Combine like terms: 3a + -2a = 1a 6 + 1a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + 1a = -2 + 0 6 + 1a = -2 Add '-6' to each side of the equation. 6 + -6 + 1a = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1a = -2 + -6 1a = -2 + -6 Combine like terms: -2 + -6 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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