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Simplifying -6(3 + -3b) + -8b = -39 + 3b (3 * -6 + -3b * -6) + -8b = -39 + 3b (-18 + 18b) + -8b = -39 + 3b Combine like terms: 18b + -8b = 10b -18 + 10b = -39 + 3b Solving -18 + 10b = -39 + 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. -18 + 10b + -3b = -39 + 3b + -3b Combine like terms: 10b + -3b = 7b -18 + 7b = -39 + 3b + -3b Combine like terms: 3b + -3b = 0 -18 + 7b = -39 + 0 -18 + 7b = -39 Add '18' to each side of the equation. -18 + 18 + 7b = -39 + 18 Combine like terms: -18 + 18 = 0 0 + 7b = -39 + 18 7b = -39 + 18 Combine like terms: -39 + 18 = -21 7b = -21 Divide each side by '7'. b = -3 Simplifying b = -3
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