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Simplifying 7.4 + 44.4 = 3.2a + 86.4 Combine like terms: 7.4 + 44.4 = 51.8 51.8 = 3.2a + 86.4 Reorder the terms: 51.8 = 86.4 + 3.2a Solving 51.8 = 86.4 + 3.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.2a' to each side of the equation. 51.8 + -3.2a = 86.4 + 3.2a + -3.2a Combine like terms: 3.2a + -3.2a = 0.0 51.8 + -3.2a = 86.4 + 0.0 51.8 + -3.2a = 86.4 Add '-51.8' to each side of the equation. 51.8 + -51.8 + -3.2a = 86.4 + -51.8 Combine like terms: 51.8 + -51.8 = 0.0 0.0 + -3.2a = 86.4 + -51.8 -3.2a = 86.4 + -51.8 Combine like terms: 86.4 + -51.8 = 34.6 -3.2a = 34.6 Divide each side by '-3.2'. a = -10.8125 Simplifying a = -10.8125
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