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Simplifying 6.5a + 5 = 2.5a + 13 Reorder the terms: 5 + 6.5a = 2.5a + 13 Reorder the terms: 5 + 6.5a = 13 + 2.5a Solving 5 + 6.5a = 13 + 2.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5a' to each side of the equation. 5 + 6.5a + -2.5a = 13 + 2.5a + -2.5a Combine like terms: 6.5a + -2.5a = 4a 5 + 4a = 13 + 2.5a + -2.5a Combine like terms: 2.5a + -2.5a = 0.0 5 + 4a = 13 + 0.0 5 + 4a = 13 Add '-5' to each side of the equation. 5 + -5 + 4a = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = 13 + -5 4a = 13 + -5 Combine like terms: 13 + -5 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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