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Simplifying 1025 = 2(55) + 5(a * 107) Multiply 2 * 55 1025 = 110 + 5(a * 107) Reorder the terms for easier multiplication: 1025 = 110 + 5(107a) Remove parenthesis around (107a) 1025 = 110 + 5 * 107a Multiply 5 * 107 1025 = 110 + 535a Solving 1025 = 110 + 535a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-535a' to each side of the equation. 1025 + -535a = 110 + 535a + -535a Combine like terms: 535a + -535a = 0 1025 + -535a = 110 + 0 1025 + -535a = 110 Add '-1025' to each side of the equation. 1025 + -1025 + -535a = 110 + -1025 Combine like terms: 1025 + -1025 = 0 0 + -535a = 110 + -1025 -535a = 110 + -1025 Combine like terms: 110 + -1025 = -915 -535a = -915 Divide each side by '-535'. a = 1.710280374 Simplifying a = 1.710280374
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