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Simplifying 1 + 3(b + 6) + -1b = -15 Reorder the terms: 1 + 3(6 + b) + -1b = -15 1 + (6 * 3 + b * 3) + -1b = -15 1 + (18 + 3b) + -1b = -15 Combine like terms: 1 + 18 = 19 19 + 3b + -1b = -15 Combine like terms: 3b + -1b = 2b 19 + 2b = -15 Solving 19 + 2b = -15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2b = -15 + -19 Combine like terms: 19 + -19 = 0 0 + 2b = -15 + -19 2b = -15 + -19 Combine like terms: -15 + -19 = -34 2b = -34 Divide each side by '2'. b = -17 Simplifying b = -17
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