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Simplifying 15(b + 2) + 15 + 2b + -9 = 90 + -1b Reorder the terms: 15(2 + b) + 15 + 2b + -9 = 90 + -1b (2 * 15 + b * 15) + 15 + 2b + -9 = 90 + -1b (30 + 15b) + 15 + 2b + -9 = 90 + -1b Reorder the terms: 30 + 15 + -9 + 15b + 2b = 90 + -1b Combine like terms: 30 + 15 = 45 45 + -9 + 15b + 2b = 90 + -1b Combine like terms: 45 + -9 = 36 36 + 15b + 2b = 90 + -1b Combine like terms: 15b + 2b = 17b 36 + 17b = 90 + -1b Solving 36 + 17b = 90 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 36 + 17b + b = 90 + -1b + b Combine like terms: 17b + b = 18b 36 + 18b = 90 + -1b + b Combine like terms: -1b + b = 0 36 + 18b = 90 + 0 36 + 18b = 90 Add '-36' to each side of the equation. 36 + -36 + 18b = 90 + -36 Combine like terms: 36 + -36 = 0 0 + 18b = 90 + -36 18b = 90 + -36 Combine like terms: 90 + -36 = 54 18b = 54 Divide each side by '18'. b = 3 Simplifying b = 3
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