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Simplifying 12.5a + 5 = 4.5a + 13 Reorder the terms: 5 + 12.5a = 4.5a + 13 Reorder the terms: 5 + 12.5a = 13 + 4.5a Solving 5 + 12.5a = 13 + 4.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.5a' to each side of the equation. 5 + 12.5a + -4.5a = 13 + 4.5a + -4.5a Combine like terms: 12.5a + -4.5a = 8a 5 + 8a = 13 + 4.5a + -4.5a Combine like terms: 4.5a + -4.5a = 0.0 5 + 8a = 13 + 0.0 5 + 8a = 13 Add '-5' to each side of the equation. 5 + -5 + 8a = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 13 + -5 8a = 13 + -5 Combine like terms: 13 + -5 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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