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Simplifying 3(b + -2) + 5(4 + -6b) = 5b + 7 + 7 + -3b Reorder the terms: 3(-2 + b) + 5(4 + -6b) = 5b + 7 + 7 + -3b (-2 * 3 + b * 3) + 5(4 + -6b) = 5b + 7 + 7 + -3b (-6 + 3b) + 5(4 + -6b) = 5b + 7 + 7 + -3b -6 + 3b + (4 * 5 + -6b * 5) = 5b + 7 + 7 + -3b -6 + 3b + (20 + -30b) = 5b + 7 + 7 + -3b Reorder the terms: -6 + 20 + 3b + -30b = 5b + 7 + 7 + -3b Combine like terms: -6 + 20 = 14 14 + 3b + -30b = 5b + 7 + 7 + -3b Combine like terms: 3b + -30b = -27b 14 + -27b = 5b + 7 + 7 + -3b Reorder the terms: 14 + -27b = 7 + 7 + 5b + -3b Combine like terms: 7 + 7 = 14 14 + -27b = 14 + 5b + -3b Combine like terms: 5b + -3b = 2b 14 + -27b = 14 + 2b Add '-14' to each side of the equation. 14 + -14 + -27b = 14 + -14 + 2b Combine like terms: 14 + -14 = 0 0 + -27b = 14 + -14 + 2b -27b = 14 + -14 + 2b Combine like terms: 14 + -14 = 0 -27b = 0 + 2b -27b = 2b Solving -27b = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -27b + -2b = 2b + -2b Combine like terms: -27b + -2b = -29b -29b = 2b + -2b Combine like terms: 2b + -2b = 0 -29b = 0 Divide each side by '-29'. b = 0 Simplifying b = 0
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