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Simplifying 0.5(8a + 12) + -27 = 15 Reorder the terms: 0.5(12 + 8a) + -27 = 15 (12 * 0.5 + 8a * 0.5) + -27 = 15 (6 + 4a) + -27 = 15 Reorder the terms: 6 + -27 + 4a = 15 Combine like terms: 6 + -27 = -21 -21 + 4a = 15 Solving -21 + 4a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4a = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 4a = 15 + 21 4a = 15 + 21 Combine like terms: 15 + 21 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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