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Simplifying -2[4 + -1(3b + 2)] = 8 + -2(3b + 9) Reorder the terms: -2[4 + -1(2 + 3b)] = 8 + -2(3b + 9) -2[4 + (2 * -1 + 3b * -1)] = 8 + -2(3b + 9) -2[4 + (-2 + -3b)] = 8 + -2(3b + 9) Combine like terms: 4 + -2 = 2 -2[2 + -3b] = 8 + -2(3b + 9) [2 * -2 + -3b * -2] = 8 + -2(3b + 9) [-4 + 6b] = 8 + -2(3b + 9) Reorder the terms: -4 + 6b = 8 + -2(9 + 3b) -4 + 6b = 8 + (9 * -2 + 3b * -2) -4 + 6b = 8 + (-18 + -6b) Combine like terms: 8 + -18 = -10 -4 + 6b = -10 + -6b Solving -4 + 6b = -10 + -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 = -10 + -6b + 6b Combine like terms: 6b + 6b = 12b -4 + 12b = -10 + -6b + 6b Combine like terms: -6b + 6b = 0 -4 + 12b = -10 + 0 -4 + 12b = -10 Add '4' to each side of the equation. -4 + 4 + 12b = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 12b = -10 + 4 12b = -10 + 4 Combine like terms: -10 + 4 = -6 12b = -6 Divide each side by '12'. b = -0.5 Simplifying b = -0.5
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