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Simplifying -2b + -1(b + -9) = 2(7 + 3b) Reorder the terms: -2b + -1(-9 + b) = 2(7 + 3b) -2b + (-9 * -1 + b * -1) = 2(7 + 3b) -2b + (9 + -1b) = 2(7 + 3b) Reorder the terms: 9 + -2b + -1b = 2(7 + 3b) Combine like terms: -2b + -1b = -3b 9 + -3b = 2(7 + 3b) 9 + -3b = (7 * 2 + 3b * 2) 9 + -3b = (14 + 6b) Solving 9 + -3b = 14 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 9 + -3b + -6b = 14 + 6b + -6b Combine like terms: -3b + -6b = -9b 9 + -9b = 14 + 6b + -6b Combine like terms: 6b + -6b = 0 9 + -9b = 14 + 0 9 + -9b = 14 Add '-9' to each side of the equation. 9 + -9 + -9b = 14 + -9 Combine like terms: 9 + -9 = 0 0 + -9b = 14 + -9 -9b = 14 + -9 Combine like terms: 14 + -9 = 5 -9b = 5 Divide each side by '-9'. b = -0.5555555556 Simplifying b = -0.5555555556
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