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Simplifying 6a + -7.6 = 5a + 6.4 Reorder the terms: -7.6 + 6a = 5a + 6.4 Reorder the terms: -7.6 + 6a = 6.4 + 5a Solving -7.6 + 6a = 6.4 + 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. -7.6 + 6a + -5a = 6.4 + 5a + -5a Combine like terms: 6a + -5a = 1a -7.6 + 1a = 6.4 + 5a + -5a Combine like terms: 5a + -5a = 0 -7.6 + 1a = 6.4 + 0 -7.6 + 1a = 6.4 Add '7.6' to each side of the equation. -7.6 + 7.6 + 1a = 6.4 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 1a = 6.4 + 7.6 1a = 6.4 + 7.6 Combine like terms: 6.4 + 7.6 = 14 1a = 14 Divide each side by '1'. a = 14 Simplifying a = 14
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