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Simplifying 2[b + -1(4b + -5)] = 3b + 4 Reorder the terms: 2[b + -1(-5 + 4b)] = 3b + 4 2[b + (-5 * -1 + 4b * -1)] = 3b + 4 2[b + (5 + -4b)] = 3b + 4 Reorder the terms: 2[5 + b + -4b] = 3b + 4 Combine like terms: b + -4b = -3b 2[5 + -3b] = 3b + 4 [5 * 2 + -3b * 2] = 3b + 4 [10 + -6b] = 3b + 4 Reorder the terms: 10 + -6b = 4 + 3b Solving 10 + -6b = 4 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 10 + -6b + -3b = 4 + 3b + -3b Combine like terms: -6b + -3b = -9b 10 + -9b = 4 + 3b + -3b Combine like terms: 3b + -3b = 0 10 + -9b = 4 + 0 10 + -9b = 4 Add '-10' to each side of the equation. 10 + -10 + -9b = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -9b = 4 + -10 -9b = 4 + -10 Combine like terms: 4 + -10 = -6 -9b = -6 Divide each side by '-9'. b = 0.6666666667 Simplifying b = 0.6666666667
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