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Simplifying -2[4 + -1(3b + 5)] = 7 + -5(3b + 9) Reorder the terms: -2[4 + -1(5 + 3b)] = 7 + -5(3b + 9) -2[4 + (5 * -1 + 3b * -1)] = 7 + -5(3b + 9) -2[4 + (-5 + -3b)] = 7 + -5(3b + 9) Combine like terms: 4 + -5 = -1 -2[-1 + -3b] = 7 + -5(3b + 9) [-1 * -2 + -3b * -2] = 7 + -5(3b + 9) [2 + 6b] = 7 + -5(3b + 9) Reorder the terms: 2 + 6b = 7 + -5(9 + 3b) 2 + 6b = 7 + (9 * -5 + 3b * -5) 2 + 6b = 7 + (-45 + -15b) Combine like terms: 7 + -45 = -38 2 + 6b = -38 + -15b Solving 2 + 6b = -38 + -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. 2 + 6b + 15b = -38 + -15b + 15b Combine like terms: 6b + 15b = 21b 2 + 21b = -38 + -15b + 15b Combine like terms: -15b + 15b = 0 2 + 21b = -38 + 0 2 + 21b = -38 Add '-2' to each side of the equation. 2 + -2 + 21b = -38 + -2 Combine like terms: 2 + -2 = 0 0 + 21b = -38 + -2 21b = -38 + -2 Combine like terms: -38 + -2 = -40 21b = -40 Divide each side by '21'. b = -1.904761905 Simplifying b = -1.904761905
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