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Simplifying 90 + -2b + -9 + 15 + 15(b + 2) = b Reorder the terms: 90 + -2b + -9 + 15 + 15(2 + b) = b 90 + -2b + -9 + 15 + (2 * 15 + b * 15) = b 90 + -2b + -9 + 15 + (30 + 15b) = b Reorder the terms: 90 + -9 + 15 + 30 + -2b + 15b = b Combine like terms: 90 + -9 = 81 81 + 15 + 30 + -2b + 15b = b Combine like terms: 81 + 15 = 96 96 + 30 + -2b + 15b = b Combine like terms: 96 + 30 = 126 126 + -2b + 15b = b Combine like terms: -2b + 15b = 13b 126 + 13b = b Solving 126 + 13b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 126 + 13b + -1b = b + -1b Combine like terms: 13b + -1b = 12b 126 + 12b = b + -1b Combine like terms: b + -1b = 0 126 + 12b = 0 Add '-126' to each side of the equation. 126 + -126 + 12b = 0 + -126 Combine like terms: 126 + -126 = 0 0 + 12b = 0 + -126 12b = 0 + -126 Combine like terms: 0 + -126 = -126 12b = -126 Divide each side by '12'. b = -10.5 Simplifying b = -10.5
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