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Simplifying -7b + -2[3(4 + -1b) + -5(2b + 1)] = 0 -7b + -2[(4 * 3 + -1b * 3) + -5(2b + 1)] = 0 -7b + -2[(12 + -3b) + -5(2b + 1)] = 0 Reorder the terms: -7b + -2[12 + -3b + -5(1 + 2b)] = 0 -7b + -2[12 + -3b + (1 * -5 + 2b * -5)] = 0 -7b + -2[12 + -3b + (-5 + -10b)] = 0 Reorder the terms: -7b + -2[12 + -5 + -3b + -10b] = 0 Combine like terms: 12 + -5 = 7 -7b + -2[7 + -3b + -10b] = 0 Combine like terms: -3b + -10b = -13b -7b + -2[7 + -13b] = 0 -7b + [7 * -2 + -13b * -2] = 0 -7b + [-14 + 26b] = 0 Reorder the terms: -14 + -7b + 26b = 0 Combine like terms: -7b + 26b = 19b -14 + 19b = 0 Solving -14 + 19b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 19b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 19b = 0 + 14 19b = 0 + 14 Combine like terms: 0 + 14 = 14 19b = 14 Divide each side by '19'. b = 0.7368421053 Simplifying b = 0.7368421053
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