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Simplifying -2[4 + -1(3b + 2)] = 50 + -52(3b + 6) Reorder the terms: -2[4 + -1(2 + 3b)] = 50 + -52(3b + 6) -2[4 + (2 * -1 + 3b * -1)] = 50 + -52(3b + 6) -2[4 + (-2 + -3b)] = 50 + -52(3b + 6) Combine like terms: 4 + -2 = 2 -2[2 + -3b] = 50 + -52(3b + 6) [2 * -2 + -3b * -2] = 50 + -52(3b + 6) [-4 + 6b] = 50 + -52(3b + 6) Reorder the terms: -4 + 6b = 50 + -52(6 + 3b) -4 + 6b = 50 + (6 * -52 + 3b * -52) -4 + 6b = 50 + (-312 + -156b) Combine like terms: 50 + -312 = -262 -4 + 6b = -262 + -156b Solving -4 + 6b = -262 + -156b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '156b' to each side of the equation. -4 + 6b + 156b = -262 + -156b + 156b Combine like terms: 6b + 156b = 162b -4 + 162b = -262 + -156b + 156b Combine like terms: -156b + 156b = 0 -4 + 162b = -262 + 0 -4 + 162b = -262 Add '4' to each side of the equation. -4 + 4 + 162b = -262 + 4 Combine like terms: -4 + 4 = 0 0 + 162b = -262 + 4 162b = -262 + 4 Combine like terms: -262 + 4 = -258 162b = -258 Divide each side by '162'. b = -1.592592593 Simplifying b = -1.592592593
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