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Simplifying -2[4 + -1(3b + 2)] = 5b + -2(3b + 6) Reorder the terms: -2[4 + -1(2 + 3b)] = 5b + -2(3b + 6) -2[4 + (2 * -1 + 3b * -1)] = 5b + -2(3b + 6) -2[4 + (-2 + -3b)] = 5b + -2(3b + 6) Combine like terms: 4 + -2 = 2 -2[2 + -3b] = 5b + -2(3b + 6) [2 * -2 + -3b * -2] = 5b + -2(3b + 6) [-4 + 6b] = 5b + -2(3b + 6) Reorder the terms: -4 + 6b = 5b + -2(6 + 3b) -4 + 6b = 5b + (6 * -2 + 3b * -2) -4 + 6b = 5b + (-12 + -6b) Reorder the terms: -4 + 6b = -12 + 5b + -6b Combine like terms: 5b + -6b = -1b -4 + 6b = -12 + -1b Solving -4 + 6b = -12 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -4 + 6b + b = -12 + -1b + b Combine like terms: 6b + b = 7b -4 + 7b = -12 + -1b + b Combine like terms: -1b + b = 0 -4 + 7b = -12 + 0 -4 + 7b = -12 Add '4' to each side of the equation. -4 + 4 + 7b = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 7b = -12 + 4 7b = -12 + 4 Combine like terms: -12 + 4 = -8 7b = -8 Divide each side by '7'. b = -1.142857143 Simplifying b = -1.142857143
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