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Simplifying 2(a + 2) = 3(a + 4) Reorder the terms: 2(2 + a) = 3(a + 4) (2 * 2 + a * 2) = 3(a + 4) (4 + 2a) = 3(a + 4) Reorder the terms: 4 + 2a = 3(4 + a) 4 + 2a = (4 * 3 + a * 3) 4 + 2a = (12 + 3a) Solving 4 + 2a = 12 + 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. 4 + 2a + -3a = 12 + 3a + -3a Combine like terms: 2a + -3a = -1a 4 + -1a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + -1a = 12 + 0 4 + -1a = 12 Add '-4' to each side of the equation. 4 + -4 + -1a = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 12 + -4 -1a = 12 + -4 Combine like terms: 12 + -4 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8
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