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Simplifying -82 = -1 + -3(3 + 3b) -82 = -1 + (3 * -3 + 3b * -3) -82 = -1 + (-9 + -9b) Combine like terms: -1 + -9 = -10 -82 = -10 + -9b Solving -82 = -10 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -82 + 9b = -10 + -9b + 9b Combine like terms: -9b + 9b = 0 -82 + 9b = -10 + 0 -82 + 9b = -10 Add '82' to each side of the equation. -82 + 82 + 9b = -10 + 82 Combine like terms: -82 + 82 = 0 0 + 9b = -10 + 82 9b = -10 + 82 Combine like terms: -10 + 82 = 72 9b = 72 Divide each side by '9'. b = 8 Simplifying b = 8
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