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Simplifying -6(b + 5) + -4 = 2 + 3(2 + -1b) Reorder the terms: -6(5 + b) + -4 = 2 + 3(2 + -1b) (5 * -6 + b * -6) + -4 = 2 + 3(2 + -1b) (-30 + -6b) + -4 = 2 + 3(2 + -1b) Reorder the terms: -30 + -4 + -6b = 2 + 3(2 + -1b) Combine like terms: -30 + -4 = -34 -34 + -6b = 2 + 3(2 + -1b) -34 + -6b = 2 + (2 * 3 + -1b * 3) -34 + -6b = 2 + (6 + -3b) Combine like terms: 2 + 6 = 8 -34 + -6b = 8 + -3b Solving -34 + -6b = 8 + -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. -34 + -6b + 3b = 8 + -3b + 3b Combine like terms: -6b + 3b = -3b -34 + -3b = 8 + -3b + 3b Combine like terms: -3b + 3b = 0 -34 + -3b = 8 + 0 -34 + -3b = 8 Add '34' to each side of the equation. -34 + 34 + -3b = 8 + 34 Combine like terms: -34 + 34 = 0 0 + -3b = 8 + 34 -3b = 8 + 34 Combine like terms: 8 + 34 = 42 -3b = 42 Divide each side by '-3'. b = -14 Simplifying b = -14
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