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Simplifying 4(b + 4) + -2 = -5(b + 7) + 2n Reorder the terms: 4(4 + b) + -2 = -5(b + 7) + 2n (4 * 4 + b * 4) + -2 = -5(b + 7) + 2n (16 + 4b) + -2 = -5(b + 7) + 2n Reorder the terms: 16 + -2 + 4b = -5(b + 7) + 2n Combine like terms: 16 + -2 = 14 14 + 4b = -5(b + 7) + 2n Reorder the terms: 14 + 4b = -5(7 + b) + 2n 14 + 4b = (7 * -5 + b * -5) + 2n 14 + 4b = (-35 + -5b) + 2n Solving 14 + 4b = -35 + -5b + 2n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 14 + 4b + 5b = -35 + -5b + 5b + 2n Combine like terms: 4b + 5b = 9b 14 + 9b = -35 + -5b + 5b + 2n Combine like terms: -5b + 5b = 0 14 + 9b = -35 + 0 + 2n 14 + 9b = -35 + 2n Add '-14' to each side of the equation. 14 + -14 + 9b = -35 + -14 + 2n Combine like terms: 14 + -14 = 0 0 + 9b = -35 + -14 + 2n 9b = -35 + -14 + 2n Combine like terms: -35 + -14 = -49 9b = -49 + 2n Divide each side by '9'. b = -5.444444444 + 0.2222222222n Simplifying b = -5.444444444 + 0.2222222222n
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