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Simplifying 12.4 + 2a = 5a + 5.5 Reorder the terms: 12.4 + 2a = 5.5 + 5a Solving 12.4 + 2a = 5.5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12.4 + 2a + -5a = 5.5 + 5a + -5a Combine like terms: 2a + -5a = -3a 12.4 + -3a = 5.5 + 5a + -5a Combine like terms: 5a + -5a = 0 12.4 + -3a = 5.5 + 0 12.4 + -3a = 5.5 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -3a = 5.5 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -3a = 5.5 + -12.4 -3a = 5.5 + -12.4 Combine like terms: 5.5 + -12.4 = -6.9 -3a = -6.9 Divide each side by '-3'. a = 2.3 Simplifying a = 2.3
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