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Simplifying -5(b + -9) + -1(2b + -9) = 3b + 2 Reorder the terms: -5(-9 + b) + -1(2b + -9) = 3b + 2 (-9 * -5 + b * -5) + -1(2b + -9) = 3b + 2 (45 + -5b) + -1(2b + -9) = 3b + 2 Reorder the terms: 45 + -5b + -1(-9 + 2b) = 3b + 2 45 + -5b + (-9 * -1 + 2b * -1) = 3b + 2 45 + -5b + (9 + -2b) = 3b + 2 Reorder the terms: 45 + 9 + -5b + -2b = 3b + 2 Combine like terms: 45 + 9 = 54 54 + -5b + -2b = 3b + 2 Combine like terms: -5b + -2b = -7b 54 + -7b = 3b + 2 Reorder the terms: 54 + -7b = 2 + 3b Solving 54 + -7b = 2 + 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. 54 + -7b + -3b = 2 + 3b + -3b Combine like terms: -7b + -3b = -10b 54 + -10b = 2 + 3b + -3b Combine like terms: 3b + -3b = 0 54 + -10b = 2 + 0 54 + -10b = 2 Add '-54' to each side of the equation. 54 + -54 + -10b = 2 + -54 Combine like terms: 54 + -54 = 0 0 + -10b = 2 + -54 -10b = 2 + -54 Combine like terms: 2 + -54 = -52 -10b = -52 Divide each side by '-10'. b = 5.2 Simplifying b = 5.2
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