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Simplifying 2(a + 4) = 3(a + 2) Reorder the terms: 2(4 + a) = 3(a + 2) (4 * 2 + a * 2) = 3(a + 2) (8 + 2a) = 3(a + 2) Reorder the terms: 8 + 2a = 3(2 + a) 8 + 2a = (2 * 3 + a * 3) 8 + 2a = (6 + 3a) Solving 8 + 2a = 6 + 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. 8 + 2a + -3a = 6 + 3a + -3a Combine like terms: 2a + -3a = -1a 8 + -1a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + -1a = 6 + 0 8 + -1a = 6 Add '-8' to each side of the equation. 8 + -8 + -1a = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 6 + -8 -1a = 6 + -8 Combine like terms: 6 + -8 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2
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