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Simplifying -5[4 + -1(3b + 5)] = 6 + -5(3b + 8) Reorder the terms: -5[4 + -1(5 + 3b)] = 6 + -5(3b + 8) -5[4 + (5 * -1 + 3b * -1)] = 6 + -5(3b + 8) -5[4 + (-5 + -3b)] = 6 + -5(3b + 8) Combine like terms: 4 + -5 = -1 -5[-1 + -3b] = 6 + -5(3b + 8) [-1 * -5 + -3b * -5] = 6 + -5(3b + 8) [5 + 15b] = 6 + -5(3b + 8) Reorder the terms: 5 + 15b = 6 + -5(8 + 3b) 5 + 15b = 6 + (8 * -5 + 3b * -5) 5 + 15b = 6 + (-40 + -15b) Combine like terms: 6 + -40 = -34 5 + 15b = -34 + -15b Solving 5 + 15b = -34 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. 5 + 15b + 15b = -34 + -15b + 15b Combine like terms: 15b + 15b = 30b 5 + 30b = -34 + -15b + 15b Combine like terms: -15b + 15b = 0 5 + 30b = -34 + 0 5 + 30b = -34 Add '-5' to each side of the equation. 5 + -5 + 30b = -34 + -5 Combine like terms: 5 + -5 = 0 0 + 30b = -34 + -5 30b = -34 + -5 Combine like terms: -34 + -5 = -39 30b = -39 Divide each side by '30'. b = -1.3 Simplifying b = -1.3
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