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Simplifying -1.4a + 142.45 = -21.85 + 9.2a Reorder the terms: 142.45 + -1.4a = -21.85 + 9.2a Solving 142.45 + -1.4a = -21.85 + 9.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.2a' to each side of the equation. 142.45 + -1.4a + -9.2a = -21.85 + 9.2a + -9.2a Combine like terms: -1.4a + -9.2a = -10.6a 142.45 + -10.6a = -21.85 + 9.2a + -9.2a Combine like terms: 9.2a + -9.2a = 0.0 142.45 + -10.6a = -21.85 + 0.0 142.45 + -10.6a = -21.85 Add '-142.45' to each side of the equation. 142.45 + -142.45 + -10.6a = -21.85 + -142.45 Combine like terms: 142.45 + -142.45 = 0.00 0.00 + -10.6a = -21.85 + -142.45 -10.6a = -21.85 + -142.45 Combine like terms: -21.85 + -142.45 = -164.3 -10.6a = -164.3 Divide each side by '-10.6'. a = 15.5 Simplifying a = 15.5
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