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Simplifying -2[4 + -1(3b + 2)] = 5 + -2(3b + 8) Reorder the terms: -2[4 + -1(2 + 3b)] = 5 + -2(3b + 8) -2[4 + (2 * -1 + 3b * -1)] = 5 + -2(3b + 8) -2[4 + (-2 + -3b)] = 5 + -2(3b + 8) Combine like terms: 4 + -2 = 2 -2[2 + -3b] = 5 + -2(3b + 8) [2 * -2 + -3b * -2] = 5 + -2(3b + 8) [-4 + 6b] = 5 + -2(3b + 8) Reorder the terms: -4 + 6b = 5 + -2(8 + 3b) -4 + 6b = 5 + (8 * -2 + 3b * -2) -4 + 6b = 5 + (-16 + -6b) Combine like terms: 5 + -16 = -11 -4 + 6b = -11 + -6b Solving -4 + 6b = -11 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -4 + 6b + 6b = -11 + -6b + 6b Combine like terms: 6b + 6b = 12b -4 + 12b = -11 + -6b + 6b Combine like terms: -6b + 6b = 0 -4 + 12b = -11 + 0 -4 + 12b = -11 Add '4' to each side of the equation. -4 + 4 + 12b = -11 + 4 Combine like terms: -4 + 4 = 0 0 + 12b = -11 + 4 12b = -11 + 4 Combine like terms: -11 + 4 = -7 12b = -7 Divide each side by '12'. b = -0.5833333333 Simplifying b = -0.5833333333
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