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Simplifying 6 + -1a = 0.333333333(9a + -18) Reorder the terms: 6 + -1a = 0.333333333(-18 + 9a) 6 + -1a = (-18 * 0.333333333 + 9a * 0.333333333) 6 + -1a = (-5.999999994 + 2.999999997a) Solving 6 + -1a = -5.999999994 + 2.999999997a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.999999997a' to each side of the equation. 6 + -1a + -2.999999997a = -5.999999994 + 2.999999997a + -2.999999997a Combine like terms: -1a + -2.999999997a = -3.999999997a 6 + -3.999999997a = -5.999999994 + 2.999999997a + -2.999999997a Combine like terms: 2.999999997a + -2.999999997a = 0.000000000 6 + -3.999999997a = -5.999999994 + 0.000000000 6 + -3.999999997a = -5.999999994 Add '-6' to each side of the equation. 6 + -6 + -3.999999997a = -5.999999994 + -6 Combine like terms: 6 + -6 = 0 0 + -3.999999997a = -5.999999994 + -6 -3.999999997a = -5.999999994 + -6 Combine like terms: -5.999999994 + -6 = -11.999999994 -3.999999997a = -11.999999994 Divide each side by '-3.999999997'. a = 3.000000001 Simplifying a = 3.000000001
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