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Simplifying 0.3a + 0.5 = 14.9 + -1.1a Reorder the terms: 0.5 + 0.3a = 14.9 + -1.1a Solving 0.5 + 0.3a = 14.9 + -1.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.1a' to each side of the equation. 0.5 + 0.3a + 1.1a = 14.9 + -1.1a + 1.1a Combine like terms: 0.3a + 1.1a = 1.4a 0.5 + 1.4a = 14.9 + -1.1a + 1.1a Combine like terms: -1.1a + 1.1a = 0.0 0.5 + 1.4a = 14.9 + 0.0 0.5 + 1.4a = 14.9 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.4a = 14.9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.4a = 14.9 + -0.5 1.4a = 14.9 + -0.5 Combine like terms: 14.9 + -0.5 = 14.4 1.4a = 14.4 Divide each side by '1.4'. a = 10.28571429 Simplifying a = 10.28571429
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