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Simplifying -1b + -1(13 + 4b) = 3(5 + -9b) + 2 -1b + (13 * -1 + 4b * -1) = 3(5 + -9b) + 2 -1b + (-13 + -4b) = 3(5 + -9b) + 2 Reorder the terms: -13 + -1b + -4b = 3(5 + -9b) + 2 Combine like terms: -1b + -4b = -5b -13 + -5b = 3(5 + -9b) + 2 -13 + -5b = (5 * 3 + -9b * 3) + 2 -13 + -5b = (15 + -27b) + 2 Reorder the terms: -13 + -5b = 15 + 2 + -27b Combine like terms: 15 + 2 = 17 -13 + -5b = 17 + -27b Solving -13 + -5b = 17 + -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. -13 + -5b + 27b = 17 + -27b + 27b Combine like terms: -5b + 27b = 22b -13 + 22b = 17 + -27b + 27b Combine like terms: -27b + 27b = 0 -13 + 22b = 17 + 0 -13 + 22b = 17 Add '13' to each side of the equation. -13 + 13 + 22b = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 22b = 17 + 13 22b = 17 + 13 Combine like terms: 17 + 13 = 30 22b = 30 Divide each side by '22'. b = 1.363636364 Simplifying b = 1.363636364
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