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Simplifying 8.1a + 2.9 = 5.1a + -3.1 Reorder the terms: 2.9 + 8.1a = 5.1a + -3.1 Reorder the terms: 2.9 + 8.1a = -3.1 + 5.1a Solving 2.9 + 8.1a = -3.1 + 5.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.1a' to each side of the equation. 2.9 + 8.1a + -5.1a = -3.1 + 5.1a + -5.1a Combine like terms: 8.1a + -5.1a = 3a 2.9 + 3a = -3.1 + 5.1a + -5.1a Combine like terms: 5.1a + -5.1a = 0.0 2.9 + 3a = -3.1 + 0.0 2.9 + 3a = -3.1 Add '-2.9' to each side of the equation. 2.9 + -2.9 + 3a = -3.1 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + 3a = -3.1 + -2.9 3a = -3.1 + -2.9 Combine like terms: -3.1 + -2.9 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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