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Simplifying 0.142857(a + 3) = 0.166667(6 + -1a) Reorder the terms: 0.142857(3 + a) = 0.166667(6 + -1a) (3 * 0.142857 + a * 0.142857) = 0.166667(6 + -1a) (0.428571 + 0.142857a) = 0.166667(6 + -1a) 0.428571 + 0.142857a = (6 * 0.166667 + -1a * 0.166667) 0.428571 + 0.142857a = (1.000002 + -0.166667a) Solving 0.428571 + 0.142857a = 1.000002 + -0.166667a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.166667a' to each side of the equation. 0.428571 + 0.142857a + 0.166667a = 1.000002 + -0.166667a + 0.166667a Combine like terms: 0.142857a + 0.166667a = 0.309524a 0.428571 + 0.309524a = 1.000002 + -0.166667a + 0.166667a Combine like terms: -0.166667a + 0.166667a = 0.000000 0.428571 + 0.309524a = 1.000002 + 0.000000 0.428571 + 0.309524a = 1.000002 Add '-0.428571' to each side of the equation. 0.428571 + -0.428571 + 0.309524a = 1.000002 + -0.428571 Combine like terms: 0.428571 + -0.428571 = 0.000000 0.000000 + 0.309524a = 1.000002 + -0.428571 0.309524a = 1.000002 + -0.428571 Combine like terms: 1.000002 + -0.428571 = 0.571431 0.309524a = 0.571431 Divide each side by '0.309524'. a = 1.846160556 Simplifying a = 1.846160556
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