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Simplifying 0.5(4a + 102) + -50 = 0 Reorder the terms: 0.5(102 + 4a) + -50 = 0 (102 * 0.5 + 4a * 0.5) + -50 = 0 (51 + 2a) + -50 = 0 Reorder the terms: 51 + -50 + 2a = 0 Combine like terms: 51 + -50 = 1 1 + 2a = 0 Solving 1 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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