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Simplifying 3b + 7 + 5b + -7 + -8b + 3 + (-5) + 9b = 7b + (-8) 3b + 7 + 5b + -7 + -8b + 3 + -5 + 9b = 7b + (-8) Reorder the terms: 7 + -7 + 3 + -5 + 3b + 5b + -8b + 9b = 7b + (-8) Combine like terms: 7 + -7 = 0 0 + 3 + -5 + 3b + 5b + -8b + 9b = 7b + (-8) 3 + -5 + 3b + 5b + -8b + 9b = 7b + (-8) Combine like terms: 3 + -5 = -2 -2 + 3b + 5b + -8b + 9b = 7b + (-8) Combine like terms: 3b + 5b = 8b -2 + 8b + -8b + 9b = 7b + (-8) Combine like terms: 8b + -8b = 0 -2 + 0 + 9b = 7b + (-8) -2 + 9b = 7b + (-8) -2 + 9b = 7b + -8 Reorder the terms: -2 + 9b = -8 + 7b Solving -2 + 9b = -8 + 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. -2 + 9b + -7b = -8 + 7b + -7b Combine like terms: 9b + -7b = 2b -2 + 2b = -8 + 7b + -7b Combine like terms: 7b + -7b = 0 -2 + 2b = -8 + 0 -2 + 2b = -8 Add '2' to each side of the equation. -2 + 2 + 2b = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 2b = -8 + 2 2b = -8 + 2 Combine like terms: -8 + 2 = -6 2b = -6 Divide each side by '2'. b = -3 Simplifying b = -3
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