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Simplifying 0.5(8 + -2a) + 5 = 12 (8 * 0.5 + -2a * 0.5) + 5 = 12 (4 + -1a) + 5 = 12 Reorder the terms: 4 + 5 + -1a = 12 Combine like terms: 4 + 5 = 9 9 + -1a = 12 Solving 9 + -1a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 12 + -9 -1a = 12 + -9 Combine like terms: 12 + -9 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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