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Simplifying 27 + -1(7b + 14) = 9 + -8(b + 1) Reorder the terms: 27 + -1(14 + 7b) = 9 + -8(b + 1) 27 + (14 * -1 + 7b * -1) = 9 + -8(b + 1) 27 + (-14 + -7b) = 9 + -8(b + 1) Combine like terms: 27 + -14 = 13 13 + -7b = 9 + -8(b + 1) Reorder the terms: 13 + -7b = 9 + -8(1 + b) 13 + -7b = 9 + (1 * -8 + b * -8) 13 + -7b = 9 + (-8 + -8b) Combine like terms: 9 + -8 = 1 13 + -7b = 1 + -8b Solving 13 + -7b = 1 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 13 + -7b + 8b = 1 + -8b + 8b Combine like terms: -7b + 8b = 1b 13 + 1b = 1 + -8b + 8b Combine like terms: -8b + 8b = 0 13 + 1b = 1 + 0 13 + 1b = 1 Add '-13' to each side of the equation. 13 + -13 + 1b = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1b = 1 + -13 1b = 1 + -13 Combine like terms: 1 + -13 = -12 1b = -12 Divide each side by '1'. b = -12 Simplifying b = -12
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