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Simplifying -6.8(1 + 0.395a) = 5.114 + 4.3a (1 * -6.8 + 0.395a * -6.8) = 5.114 + 4.3a (-6.8 + -2.686a) = 5.114 + 4.3a Solving -6.8 + -2.686a = 5.114 + 4.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.3a' to each side of the equation. -6.8 + -2.686a + -4.3a = 5.114 + 4.3a + -4.3a Combine like terms: -2.686a + -4.3a = -6.986a -6.8 + -6.986a = 5.114 + 4.3a + -4.3a Combine like terms: 4.3a + -4.3a = 0.0 -6.8 + -6.986a = 5.114 + 0.0 -6.8 + -6.986a = 5.114 Add '6.8' to each side of the equation. -6.8 + 6.8 + -6.986a = 5.114 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + -6.986a = 5.114 + 6.8 -6.986a = 5.114 + 6.8 Combine like terms: 5.114 + 6.8 = 11.914 -6.986a = 11.914 Divide each side by '-6.986'. a = -1.705410822 Simplifying a = -1.705410822
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