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Simplifying -31 = 9 + 7(b + 5) Reorder the terms: -31 = 9 + 7(5 + b) -31 = 9 + (5 * 7 + b * 7) -31 = 9 + (35 + 7b) Combine like terms: 9 + 35 = 44 -31 = 44 + 7b Solving -31 = 44 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -31 + -7b = 44 + 7b + -7b Combine like terms: 7b + -7b = 0 -31 + -7b = 44 + 0 -31 + -7b = 44 Add '31' to each side of the equation. -31 + 31 + -7b = 44 + 31 Combine like terms: -31 + 31 = 0 0 + -7b = 44 + 31 -7b = 44 + 31 Combine like terms: 44 + 31 = 75 -7b = 75 Divide each side by '-7'. b = -10.71428571 Simplifying b = -10.71428571
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