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Simplifying 8.5a + 9.3 + -8.3 + -14.54 = 8.2a + -0.4 Reorder the terms: 9.3 + -8.3 + -14.54 + 8.5a = 8.2a + -0.4 Combine like terms: 9.3 + -8.3 = 1 1 + -14.54 + 8.5a = 8.2a + -0.4 Combine like terms: 1 + -14.54 = -13.54 -13.54 + 8.5a = 8.2a + -0.4 Reorder the terms: -13.54 + 8.5a = -0.4 + 8.2a Solving -13.54 + 8.5a = -0.4 + 8.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.2a' to each side of the equation. -13.54 + 8.5a + -8.2a = -0.4 + 8.2a + -8.2a Combine like terms: 8.5a + -8.2a = 0.3a -13.54 + 0.3a = -0.4 + 8.2a + -8.2a Combine like terms: 8.2a + -8.2a = 0.0 -13.54 + 0.3a = -0.4 + 0.0 -13.54 + 0.3a = -0.4 Add '13.54' to each side of the equation. -13.54 + 13.54 + 0.3a = -0.4 + 13.54 Combine like terms: -13.54 + 13.54 = 0.00 0.00 + 0.3a = -0.4 + 13.54 0.3a = -0.4 + 13.54 Combine like terms: -0.4 + 13.54 = 13.14 0.3a = 13.14 Divide each side by '0.3'. a = 43.8 Simplifying a = 43.8
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