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Simplifying b + 5n + 7 = 2(2n + 1) + 3a + -2 Reorder the terms: 7 + b + 5n = 2(2n + 1) + 3a + -2 Reorder the terms: 7 + b + 5n = 2(1 + 2n) + 3a + -2 7 + b + 5n = (1 * 2 + 2n * 2) + 3a + -2 7 + b + 5n = (2 + 4n) + 3a + -2 Reorder the terms: 7 + b + 5n = 2 + -2 + 3a + 4n Combine like terms: 2 + -2 = 0 7 + b + 5n = 0 + 3a + 4n 7 + b + 5n = 3a + 4n Solving 7 + b + 5n = 3a + 4n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + b + -7 + 5n = 3a + -7 + 4n Reorder the terms: 7 + -7 + b + 5n = 3a + -7 + 4n Combine like terms: 7 + -7 = 0 0 + b + 5n = 3a + -7 + 4n b + 5n = 3a + -7 + 4n Reorder the terms: b + 5n = -7 + 3a + 4n Add '-5n' to each side of the equation. b + 5n + -5n = -7 + 3a + 4n + -5n Combine like terms: 5n + -5n = 0 b + 0 = -7 + 3a + 4n + -5n b = -7 + 3a + 4n + -5n Combine like terms: 4n + -5n = -1n b = -7 + 3a + -1n Simplifying b = -7 + 3a + -1n
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