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Simplifying 2a + 6(a + 2) = 32 Reorder the terms: 2a + 6(2 + a) = 32 2a + (2 * 6 + a * 6) = 32 2a + (12 + 6a) = 32 Reorder the terms: 12 + 2a + 6a = 32 Combine like terms: 2a + 6a = 8a 12 + 8a = 32 Solving 12 + 8a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8a = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 32 + -12 8a = 32 + -12 Combine like terms: 32 + -12 = 20 8a = 20 Divide each side by '8'. a = 2.5 Simplifying a = 2.5
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