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Simplifying 6 + 1.5(n + 2) + 15 + 2b + -9 = 99 Reorder the terms: 6 + 1.5(2 + n) + 15 + 2b + -9 = 99 6 + (2 * 1.5 + n * 1.5) + 15 + 2b + -9 = 99 6 + (3 + 1.5n) + 15 + 2b + -9 = 99 Reorder the terms: 6 + 3 + 15 + -9 + 2b + 1.5n = 99 Combine like terms: 6 + 3 = 9 9 + 15 + -9 + 2b + 1.5n = 99 Combine like terms: 9 + 15 = 24 24 + -9 + 2b + 1.5n = 99 Combine like terms: 24 + -9 = 15 15 + 2b + 1.5n = 99 Solving 15 + 2b + 1.5n = 99 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 2b + -15 + 1.5n = 99 + -15 Reorder the terms: 15 + -15 + 2b + 1.5n = 99 + -15 Combine like terms: 15 + -15 = 0 0 + 2b + 1.5n = 99 + -15 2b + 1.5n = 99 + -15 Combine like terms: 99 + -15 = 84 2b + 1.5n = 84 Add '-1.5n' to each side of the equation. 2b + 1.5n + -1.5n = 84 + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 2b + 0.0 = 84 + -1.5n 2b = 84 + -1.5n Divide each side by '2'. b = 42 + -0.75n Simplifying b = 42 + -0.75n
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