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Simplifying 2(5 + 7a) = 0.75(3a + 10) (5 * 2 + 7a * 2) = 0.75(3a + 10) (10 + 14a) = 0.75(3a + 10) Reorder the terms: 10 + 14a = 0.75(10 + 3a) 10 + 14a = (10 * 0.75 + 3a * 0.75) 10 + 14a = (7.5 + 2.25a) Solving 10 + 14a = 7.5 + 2.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.25a' to each side of the equation. 10 + 14a + -2.25a = 7.5 + 2.25a + -2.25a Combine like terms: 14a + -2.25a = 11.75a 10 + 11.75a = 7.5 + 2.25a + -2.25a Combine like terms: 2.25a + -2.25a = 0.00 10 + 11.75a = 7.5 + 0.00 10 + 11.75a = 7.5 Add '-10' to each side of the equation. 10 + -10 + 11.75a = 7.5 + -10 Combine like terms: 10 + -10 = 0 0 + 11.75a = 7.5 + -10 11.75a = 7.5 + -10 Combine like terms: 7.5 + -10 = -2.5 11.75a = -2.5 Divide each side by '11.75'. a = -0.2127659574 Simplifying a = -0.2127659574
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