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Simplifying 5(2a + 5) = 8a + -1 Reorder the terms: 5(5 + 2a) = 8a + -1 (5 * 5 + 2a * 5) = 8a + -1 (25 + 10a) = 8a + -1 Reorder the terms: 25 + 10a = -1 + 8a Solving 25 + 10a = -1 + 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. 25 + 10a + -8a = -1 + 8a + -8a Combine like terms: 10a + -8a = 2a 25 + 2a = -1 + 8a + -8a Combine like terms: 8a + -8a = 0 25 + 2a = -1 + 0 25 + 2a = -1 Add '-25' to each side of the equation. 25 + -25 + 2a = -1 + -25 Combine like terms: 25 + -25 = 0 0 + 2a = -1 + -25 2a = -1 + -25 Combine like terms: -1 + -25 = -26 2a = -26 Divide each side by '2'. a = -13 Simplifying a = -13
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