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Simplifying 15(b + 2) + 15 = 2b + -9 + b Reorder the terms: 15(2 + b) + 15 = 2b + -9 + b (2 * 15 + b * 15) + 15 = 2b + -9 + b (30 + 15b) + 15 = 2b + -9 + b Reorder the terms: 30 + 15 + 15b = 2b + -9 + b Combine like terms: 30 + 15 = 45 45 + 15b = 2b + -9 + b Reorder the terms: 45 + 15b = -9 + 2b + b Combine like terms: 2b + b = 3b 45 + 15b = -9 + 3b Solving 45 + 15b = -9 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 45 + 15b + -3b = -9 + 3b + -3b Combine like terms: 15b + -3b = 12b 45 + 12b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 45 + 12b = -9 + 0 45 + 12b = -9 Add '-45' to each side of the equation. 45 + -45 + 12b = -9 + -45 Combine like terms: 45 + -45 = 0 0 + 12b = -9 + -45 12b = -9 + -45 Combine like terms: -9 + -45 = -54 12b = -54 Divide each side by '12'. b = -4.5 Simplifying b = -4.5
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