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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) Reorder the terms for easier multiplication: -3 * 4[1 + -3b] + -3 = (3b + 5) Multiply -3 * 4 -12[1 + -3b] + -3 = (3b + 5) [1 * -12 + -3b * -12] + -3 = (3b + 5) [-12 + 36b] + -3 = (3b + 5) Reorder the terms: -12 + -3 + 36b = (3b + 5) Combine like terms: -12 + -3 = -15 -15 + 36b = (3b + 5) Reorder the terms: -15 + 36b = (5 + 3b) Remove parenthesis around (5 + 3b) -15 + 36b = 5 + 3b Solving -15 + 36b = 5 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -15 + 36b + -3b = 5 + 3b + -3b Combine like terms: 36b + -3b = 33b -15 + 33b = 5 + 3b + -3b Combine like terms: 3b + -3b = 0 -15 + 33b = 5 + 0 -15 + 33b = 5 Add '15' to each side of the equation. -15 + 15 + 33b = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 33b = 5 + 15 33b = 5 + 15 Combine like terms: 5 + 15 = 20 33b = 20 Divide each side by '33'. b = 0.6060606061 Simplifying b = 0.6060606061
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