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Simplifying -2[4 + -1(3b + 6)] = 7 + -6(3b + 9) Reorder the terms: -2[4 + -1(6 + 3b)] = 7 + -6(3b + 9) -2[4 + (6 * -1 + 3b * -1)] = 7 + -6(3b + 9) -2[4 + (-6 + -3b)] = 7 + -6(3b + 9) Combine like terms: 4 + -6 = -2 -2[-2 + -3b] = 7 + -6(3b + 9) [-2 * -2 + -3b * -2] = 7 + -6(3b + 9) [4 + 6b] = 7 + -6(3b + 9) Reorder the terms: 4 + 6b = 7 + -6(9 + 3b) 4 + 6b = 7 + (9 * -6 + 3b * -6) 4 + 6b = 7 + (-54 + -18b) Combine like terms: 7 + -54 = -47 4 + 6b = -47 + -18b Solving 4 + 6b = -47 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. 4 + 6b + 18b = -47 + -18b + 18b Combine like terms: 6b + 18b = 24b 4 + 24b = -47 + -18b + 18b Combine like terms: -18b + 18b = 0 4 + 24b = -47 + 0 4 + 24b = -47 Add '-4' to each side of the equation. 4 + -4 + 24b = -47 + -4 Combine like terms: 4 + -4 = 0 0 + 24b = -47 + -4 24b = -47 + -4 Combine like terms: -47 + -4 = -51 24b = -51 Divide each side by '24'. b = -2.125 Simplifying b = -2.125
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