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Simplifying 3b + 39 = -4(b + -1) Reorder the terms: 39 + 3b = -4(b + -1) Reorder the terms: 39 + 3b = -4(-1 + b) 39 + 3b = (-1 * -4 + b * -4) 39 + 3b = (4 + -4b) Solving 39 + 3b = 4 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 39 + 3b + 4b = 4 + -4b + 4b Combine like terms: 3b + 4b = 7b 39 + 7b = 4 + -4b + 4b Combine like terms: -4b + 4b = 0 39 + 7b = 4 + 0 39 + 7b = 4 Add '-39' to each side of the equation. 39 + -39 + 7b = 4 + -39 Combine like terms: 39 + -39 = 0 0 + 7b = 4 + -39 7b = 4 + -39 Combine like terms: 4 + -39 = -35 7b = -35 Divide each side by '7'. b = -5 Simplifying b = -5
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