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Simplifying 2(b + 3) + -1(-9 + b) = -7 Reorder the terms: 2(3 + b) + -1(-9 + b) = -7 (3 * 2 + b * 2) + -1(-9 + b) = -7 (6 + 2b) + -1(-9 + b) = -7 6 + 2b + (-9 * -1 + b * -1) = -7 6 + 2b + (9 + -1b) = -7 Reorder the terms: 6 + 9 + 2b + -1b = -7 Combine like terms: 6 + 9 = 15 15 + 2b + -1b = -7 Combine like terms: 2b + -1b = 1b 15 + 1b = -7 Solving 15 + 1b = -7 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 + -15 + 1b = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 1b = -7 + -15 1b = -7 + -15 Combine like terms: -7 + -15 = -22 1b = -22 Divide each side by '1'. b = -22 Simplifying b = -22
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