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Simplifying 9(b + 4) + -7b = 5(36 + -2) Reorder the terms: 9(4 + b) + -7b = 5(36 + -2) (4 * 9 + b * 9) + -7b = 5(36 + -2) (36 + 9b) + -7b = 5(36 + -2) Combine like terms: 9b + -7b = 2b 36 + 2b = 5(36 + -2) Combine like terms: 36 + -2 = 34 36 + 2b = 5(34) Multiply 5 * 34 36 + 2b = 170 Solving 36 + 2b = 170 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 2b = 170 + -36 Combine like terms: 36 + -36 = 0 0 + 2b = 170 + -36 2b = 170 + -36 Combine like terms: 170 + -36 = 134 2b = 134 Divide each side by '2'. b = 67 Simplifying b = 67
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