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Simplifying 12a(65) = 13(a + 17) Reorder the terms for easier multiplication: 12 * 65a = 13(a + 17) Multiply 12 * 65 780a = 13(a + 17) Reorder the terms: 780a = 13(17 + a) 780a = (17 * 13 + a * 13) 780a = (221 + 13a) Solving 780a = 221 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 780a + -13a = 221 + 13a + -13a Combine like terms: 780a + -13a = 767a 767a = 221 + 13a + -13a Combine like terms: 13a + -13a = 0 767a = 221 + 0 767a = 221 Divide each side by '767'. a = 0.2881355932 Simplifying a = 0.2881355932
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