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Simplifying 6.5(1 + 0.395a) = 5.114 + 4.3a (1 * 6.5 + 0.395a * 6.5) = 5.114 + 4.3a (6.5 + 2.5675a) = 5.114 + 4.3a Solving 6.5 + 2.5675a = 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. 6.5 + 2.5675a + -4.3a = 5.114 + 4.3a + -4.3a Combine like terms: 2.5675a + -4.3a = -1.7325a 6.5 + -1.7325a = 5.114 + 4.3a + -4.3a Combine like terms: 4.3a + -4.3a = 0.0 6.5 + -1.7325a = 5.114 + 0.0 6.5 + -1.7325a = 5.114 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1.7325a = 5.114 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1.7325a = 5.114 + -6.5 -1.7325a = 5.114 + -6.5 Combine like terms: 5.114 + -6.5 = -1.386 -1.7325a = -1.386 Divide each side by '-1.7325'. a = 0.8 Simplifying a = 0.8
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