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Simplifying 8a + -7.1 = 7a + 3.9 Reorder the terms: -7.1 + 8a = 7a + 3.9 Reorder the terms: -7.1 + 8a = 3.9 + 7a Solving -7.1 + 8a = 3.9 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -7.1 + 8a + -7a = 3.9 + 7a + -7a Combine like terms: 8a + -7a = 1a -7.1 + 1a = 3.9 + 7a + -7a Combine like terms: 7a + -7a = 0 -7.1 + 1a = 3.9 + 0 -7.1 + 1a = 3.9 Add '7.1' to each side of the equation. -7.1 + 7.1 + 1a = 3.9 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + 1a = 3.9 + 7.1 1a = 3.9 + 7.1 Combine like terms: 3.9 + 7.1 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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