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Simplifying -3(6 + -7b) + -8 = -6 + b (6 * -3 + -7b * -3) + -8 = -6 + b (-18 + 21b) + -8 = -6 + b Reorder the terms: -18 + -8 + 21b = -6 + b Combine like terms: -18 + -8 = -26 -26 + 21b = -6 + b Solving -26 + 21b = -6 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -26 + 21b + -1b = -6 + b + -1b Combine like terms: 21b + -1b = 20b -26 + 20b = -6 + b + -1b Combine like terms: b + -1b = 0 -26 + 20b = -6 + 0 -26 + 20b = -6 Add '26' to each side of the equation. -26 + 26 + 20b = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 20b = -6 + 26 20b = -6 + 26 Combine like terms: -6 + 26 = 20 20b = 20 Divide each side by '20'. b = 1 Simplifying b = 1
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