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Simplifying 3(a + 2) = 2(a + 7) Reorder the terms: 3(2 + a) = 2(a + 7) (2 * 3 + a * 3) = 2(a + 7) (6 + 3a) = 2(a + 7) Reorder the terms: 6 + 3a = 2(7 + a) 6 + 3a = (7 * 2 + a * 2) 6 + 3a = (14 + 2a) Solving 6 + 3a = 14 + 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 = 14 + 2a + -2a Combine like terms: 3a + -2a = 1a 6 + 1a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + 1a = 14 + 0 6 + 1a = 14 Add '-6' to each side of the equation. 6 + -6 + 1a = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 1a = 14 + -6 1a = 14 + -6 Combine like terms: 14 + -6 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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