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Simplifying 2.6 + 7a + 5 = 8a + -5.6 Reorder the terms: 2.6 + 5 + 7a = 8a + -5.6 Combine like terms: 2.6 + 5 = 7.6 7.6 + 7a = 8a + -5.6 Reorder the terms: 7.6 + 7a = -5.6 + 8a Solving 7.6 + 7a = -5.6 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7.6 + 7a + -8a = -5.6 + 8a + -8a Combine like terms: 7a + -8a = -1a 7.6 + -1a = -5.6 + 8a + -8a Combine like terms: 8a + -8a = 0 7.6 + -1a = -5.6 + 0 7.6 + -1a = -5.6 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -1a = -5.6 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -1a = -5.6 + -7.6 -1a = -5.6 + -7.6 Combine like terms: -5.6 + -7.6 = -13.2 -1a = -13.2 Divide each side by '-1'. a = 13.2 Simplifying a = 13.2
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