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Simplifying 0.3a + (0.2q + -0.5) + 0.2(a + 2) = 1.3 Reorder the terms: 0.3a + (-0.5 + 0.2q) + 0.2(a + 2) = 1.3 Remove parenthesis around (-0.5 + 0.2q) 0.3a + -0.5 + 0.2q + 0.2(a + 2) = 1.3 Reorder the terms: 0.3a + -0.5 + 0.2q + 0.2(2 + a) = 1.3 0.3a + -0.5 + 0.2q + (2 * 0.2 + a * 0.2) = 1.3 0.3a + -0.5 + 0.2q + (0.4 + 0.2a) = 1.3 Reorder the terms: -0.5 + 0.4 + 0.3a + 0.2a + 0.2q = 1.3 Combine like terms: -0.5 + 0.4 = -0.1 -0.1 + 0.3a + 0.2a + 0.2q = 1.3 Combine like terms: 0.3a + 0.2a = 0.5a -0.1 + 0.5a + 0.2q = 1.3 Solving -0.1 + 0.5a + 0.2q = 1.3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.5a + 0.1 + 0.2q = 1.3 + 0.1 Reorder the terms: -0.1 + 0.1 + 0.5a + 0.2q = 1.3 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.5a + 0.2q = 1.3 + 0.1 0.5a + 0.2q = 1.3 + 0.1 Combine like terms: 1.3 + 0.1 = 1.4 0.5a + 0.2q = 1.4 Add '-0.2q' to each side of the equation. 0.5a + 0.2q + -0.2q = 1.4 + -0.2q Combine like terms: 0.2q + -0.2q = 0.0 0.5a + 0.0 = 1.4 + -0.2q 0.5a = 1.4 + -0.2q Divide each side by '0.5'. a = 2.8 + -0.4q Simplifying a = 2.8 + -0.4q
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