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Simplifying (1.3a + 2.4) + (-6.1a + -3.2) = 0 Reorder the terms: (2.4 + 1.3a) + (-6.1a + -3.2) = 0 Remove parenthesis around (2.4 + 1.3a) 2.4 + 1.3a + (-6.1a + -3.2) = 0 Reorder the terms: 2.4 + 1.3a + (-3.2 + -6.1a) = 0 Remove parenthesis around (-3.2 + -6.1a) 2.4 + 1.3a + -3.2 + -6.1a = 0 Reorder the terms: 2.4 + -3.2 + 1.3a + -6.1a = 0 Combine like terms: 2.4 + -3.2 = -0.8 -0.8 + 1.3a + -6.1a = 0 Combine like terms: 1.3a + -6.1a = -4.8a -0.8 + -4.8a = 0 Solving -0.8 + -4.8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + -4.8a = 0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -4.8a = 0 + 0.8 -4.8a = 0 + 0.8 Combine like terms: 0 + 0.8 = 0.8 -4.8a = 0.8 Divide each side by '-4.8'. a = -0.1666666667 Simplifying a = -0.1666666667
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