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Simplifying 14 + -3(5b + -12) = 1 + -1(20b + 1) Reorder the terms: 14 + -3(-12 + 5b) = 1 + -1(20b + 1) 14 + (-12 * -3 + 5b * -3) = 1 + -1(20b + 1) 14 + (36 + -15b) = 1 + -1(20b + 1) Combine like terms: 14 + 36 = 50 50 + -15b = 1 + -1(20b + 1) Reorder the terms: 50 + -15b = 1 + -1(1 + 20b) 50 + -15b = 1 + (1 * -1 + 20b * -1) 50 + -15b = 1 + (-1 + -20b) Combine like terms: 1 + -1 = 0 50 + -15b = 0 + -20b 50 + -15b = -20b Solving 50 + -15b = -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. 50 + -15b + 20b = -20b + 20b Combine like terms: -15b + 20b = 5b 50 + 5b = -20b + 20b Combine like terms: -20b + 20b = 0 50 + 5b = 0 Add '-50' to each side of the equation. 50 + -50 + 5b = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 5b = 0 + -50 5b = 0 + -50 Combine like terms: 0 + -50 = -50 5b = -50 Divide each side by '5'. b = -10 Simplifying b = -10
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