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Simplifying 0.125(a + 2) = 0.142857142(9 + -1a) Reorder the terms: 0.125(2 + a) = 0.142857142(9 + -1a) (2 * 0.125 + a * 0.125) = 0.142857142(9 + -1a) (0.25 + 0.125a) = 0.142857142(9 + -1a) 0.25 + 0.125a = (9 * 0.142857142 + -1a * 0.142857142) 0.25 + 0.125a = (1.285714278 + -0.142857142a) Solving 0.25 + 0.125a = 1.285714278 + -0.142857142a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.142857142a' to each side of the equation. 0.25 + 0.125a + 0.142857142a = 1.285714278 + -0.142857142a + 0.142857142a Combine like terms: 0.125a + 0.142857142a = 0.267857142a 0.25 + 0.267857142a = 1.285714278 + -0.142857142a + 0.142857142a Combine like terms: -0.142857142a + 0.142857142a = 0.000000000 0.25 + 0.267857142a = 1.285714278 + 0.000000000 0.25 + 0.267857142a = 1.285714278 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.267857142a = 1.285714278 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.267857142a = 1.285714278 + -0.25 0.267857142a = 1.285714278 + -0.25 Combine like terms: 1.285714278 + -0.25 = 1.035714278 0.267857142a = 1.035714278 Divide each side by '0.267857142'. a = 3.86666665 Simplifying a = 3.86666665
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