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Simplifying -3(-8b + 14) = 18 + 20b Reorder the terms: -3(14 + -8b) = 18 + 20b (14 * -3 + -8b * -3) = 18 + 20b (-42 + 24b) = 18 + 20b Solving -42 + 24b = 18 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -42 + 24b + -20b = 18 + 20b + -20b Combine like terms: 24b + -20b = 4b -42 + 4b = 18 + 20b + -20b Combine like terms: 20b + -20b = 0 -42 + 4b = 18 + 0 -42 + 4b = 18 Add '42' to each side of the equation. -42 + 42 + 4b = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 4b = 18 + 42 4b = 18 + 42 Combine like terms: 18 + 42 = 60 4b = 60 Divide each side by '4'. b = 15 Simplifying b = 15
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