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Simplifying 4(a + 2) = 2a + 16 Reorder the terms: 4(2 + a) = 2a + 16 (2 * 4 + a * 4) = 2a + 16 (8 + 4a) = 2a + 16 Reorder the terms: 8 + 4a = 16 + 2a Solving 8 + 4a = 16 + 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. 8 + 4a + -2a = 16 + 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = 16 + 0 8 + 2a = 16 Add '-8' to each side of the equation. 8 + -8 + 2a = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 16 + -8 2a = 16 + -8 Combine like terms: 16 + -8 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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