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Simplifying 0.3a + (0.2a + -0.5) + 0.2(9a + 22) = 1.3 Reorder the terms: 0.3a + (-0.5 + 0.2a) + 0.2(9a + 22) = 1.3 Remove parenthesis around (-0.5 + 0.2a) 0.3a + -0.5 + 0.2a + 0.2(9a + 22) = 1.3 Reorder the terms: 0.3a + -0.5 + 0.2a + 0.2(22 + 9a) = 1.3 0.3a + -0.5 + 0.2a + (22 * 0.2 + 9a * 0.2) = 1.3 0.3a + -0.5 + 0.2a + (4.4 + 1.8a) = 1.3 Reorder the terms: -0.5 + 4.4 + 0.3a + 0.2a + 1.8a = 1.3 Combine like terms: -0.5 + 4.4 = 3.9 3.9 + 0.3a + 0.2a + 1.8a = 1.3 Combine like terms: 0.3a + 0.2a = 0.5a 3.9 + 0.5a + 1.8a = 1.3 Combine like terms: 0.5a + 1.8a = 2.3a 3.9 + 2.3a = 1.3 Solving 3.9 + 2.3a = 1.3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.9' to each side of the equation. 3.9 + -3.9 + 2.3a = 1.3 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 2.3a = 1.3 + -3.9 2.3a = 1.3 + -3.9 Combine like terms: 1.3 + -3.9 = -2.6 2.3a = -2.6 Divide each side by '2.3'. a = -1.130434783 Simplifying a = -1.130434783
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