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Simplifying 2(a + 4) + 6a = 48 Reorder the terms: 2(4 + a) + 6a = 48 (4 * 2 + a * 2) + 6a = 48 (8 + 2a) + 6a = 48 Combine like terms: 2a + 6a = 8a 8 + 8a = 48 Solving 8 + 8a = 48 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8a = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 8a = 48 + -8 8a = 48 + -8 Combine like terms: 48 + -8 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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