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Simplifying 17 + 6(4a + 1) = 5(5a + 7) + -15 Reorder the terms: 17 + 6(1 + 4a) = 5(5a + 7) + -15 17 + (1 * 6 + 4a * 6) = 5(5a + 7) + -15 17 + (6 + 24a) = 5(5a + 7) + -15 Combine like terms: 17 + 6 = 23 23 + 24a = 5(5a + 7) + -15 Reorder the terms: 23 + 24a = 5(7 + 5a) + -15 23 + 24a = (7 * 5 + 5a * 5) + -15 23 + 24a = (35 + 25a) + -15 Reorder the terms: 23 + 24a = 35 + -15 + 25a Combine like terms: 35 + -15 = 20 23 + 24a = 20 + 25a Solving 23 + 24a = 20 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 23 + 24a + -25a = 20 + 25a + -25a Combine like terms: 24a + -25a = -1a 23 + -1a = 20 + 25a + -25a Combine like terms: 25a + -25a = 0 23 + -1a = 20 + 0 23 + -1a = 20 Add '-23' to each side of the equation. 23 + -23 + -1a = 20 + -23 Combine like terms: 23 + -23 = 0 0 + -1a = 20 + -23 -1a = 20 + -23 Combine like terms: 20 + -23 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3
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