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Simplifying -3[7 + -1(3b + 4)] + 5 = 2(5 + b) Reorder the terms: -3[7 + -1(4 + 3b)] + 5 = 2(5 + b) -3[7 + (4 * -1 + 3b * -1)] + 5 = 2(5 + b) -3[7 + (-4 + -3b)] + 5 = 2(5 + b) Combine like terms: 7 + -4 = 3 -3[3 + -3b] + 5 = 2(5 + b) [3 * -3 + -3b * -3] + 5 = 2(5 + b) [-9 + 9b] + 5 = 2(5 + b) Reorder the terms: -9 + 5 + 9b = 2(5 + b) Combine like terms: -9 + 5 = -4 -4 + 9b = 2(5 + b) -4 + 9b = (5 * 2 + b * 2) -4 + 9b = (10 + 2b) Solving -4 + 9b = 10 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -4 + 9b + -2b = 10 + 2b + -2b Combine like terms: 9b + -2b = 7b -4 + 7b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -4 + 7b = 10 + 0 -4 + 7b = 10 Add '4' to each side of the equation. -4 + 4 + 7b = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7b = 10 + 4 7b = 10 + 4 Combine like terms: 10 + 4 = 14 7b = 14 Divide each side by '7'. b = 2 Simplifying b = 2
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