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Simplifying -3[4 + -1(3b + 3)] = 4 + -3(3b + 5) Reorder the terms: -3[4 + -1(3 + 3b)] = 4 + -3(3b + 5) -3[4 + (3 * -1 + 3b * -1)] = 4 + -3(3b + 5) -3[4 + (-3 + -3b)] = 4 + -3(3b + 5) Combine like terms: 4 + -3 = 1 -3[1 + -3b] = 4 + -3(3b + 5) [1 * -3 + -3b * -3] = 4 + -3(3b + 5) [-3 + 9b] = 4 + -3(3b + 5) Reorder the terms: -3 + 9b = 4 + -3(5 + 3b) -3 + 9b = 4 + (5 * -3 + 3b * -3) -3 + 9b = 4 + (-15 + -9b) Combine like terms: 4 + -15 = -11 -3 + 9b = -11 + -9b Solving -3 + 9b = -11 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -3 + 9b + 9b = -11 + -9b + 9b Combine like terms: 9b + 9b = 18b -3 + 18b = -11 + -9b + 9b Combine like terms: -9b + 9b = 0 -3 + 18b = -11 + 0 -3 + 18b = -11 Add '3' to each side of the equation. -3 + 3 + 18b = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 18b = -11 + 3 18b = -11 + 3 Combine like terms: -11 + 3 = -8 18b = -8 Divide each side by '18'. b = -0.4444444444 Simplifying b = -0.4444444444
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