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Simplifying 2 + 5(b + -2) = -3(9b + -8) Reorder the terms: 2 + 5(-2 + b) = -3(9b + -8) 2 + (-2 * 5 + b * 5) = -3(9b + -8) 2 + (-10 + 5b) = -3(9b + -8) Combine like terms: 2 + -10 = -8 -8 + 5b = -3(9b + -8) Reorder the terms: -8 + 5b = -3(-8 + 9b) -8 + 5b = (-8 * -3 + 9b * -3) -8 + 5b = (24 + -27b) Solving -8 + 5b = 24 + -27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27b' to each side of the equation. -8 + 5b + 27b = 24 + -27b + 27b Combine like terms: 5b + 27b = 32b -8 + 32b = 24 + -27b + 27b Combine like terms: -27b + 27b = 0 -8 + 32b = 24 + 0 -8 + 32b = 24 Add '8' to each side of the equation. -8 + 8 + 32b = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 32b = 24 + 8 32b = 24 + 8 Combine like terms: 24 + 8 = 32 32b = 32 Divide each side by '32'. b = 1 Simplifying b = 1
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