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Simplifying 5a + 2 = 2(4 + a) Reorder the terms: 2 + 5a = 2(4 + a) 2 + 5a = (4 * 2 + a * 2) 2 + 5a = (8 + 2a) Solving 2 + 5a = 8 + 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. 2 + 5a + -2a = 8 + 2a + -2a Combine like terms: 5a + -2a = 3a 2 + 3a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 2 + 3a = 8 + 0 2 + 3a = 8 Add '-2' to each side of the equation. 2 + -2 + 3a = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 8 + -2 3a = 8 + -2 Combine like terms: 8 + -2 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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