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