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Simplifying 0.285714285714(a + 1) + -0.571428571428(a + -1) = 0 Reorder the terms: 0.285714285714(1 + a) + -0.571428571428(a + -1) = 0 (1 * 0.285714285714 + a * 0.285714285714) + -0.571428571428(a + -1) = 0 (0.2857142857 + 0.285714285714a) + -0.571428571428(a + -1) = 0 Reorder the terms: 0.2857142857 + 0.285714285714a + -0.571428571428(-1 + a) = 0 0.2857142857 + 0.285714285714a + (-1 * -0.571428571428 + a * -0.571428571428) = 0 0.2857142857 + 0.285714285714a + (0.5714285714 + -0.571428571428a) = 0 Reorder the terms: 0.2857142857 + 0.5714285714 + 0.285714285714a + -0.571428571428a = 0 Combine like terms: 0.2857142857 + 0.5714285714 = 0.8571428571 0.8571428571 + 0.285714285714a + -0.571428571428a = 0 Combine like terms: 0.285714285714a + -0.571428571428a = -0.285714285714a 0.8571428571 + -0.285714285714a = 0 Solving 0.8571428571 + -0.285714285714a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8571428571' to each side of the equation. 0.8571428571 + -0.8571428571 + -0.285714285714a = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -0.285714285714a = 0 + -0.8571428571 -0.285714285714a = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -0.285714285714a = -0.8571428571 Divide each side by '-0.285714285714'. a = 3 Simplifying a = 3
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