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Simplifying 8 + -1(3 + b) = 1(b + -9) 8 + (3 * -1 + b * -1) = 1(b + -9) 8 + (-3 + -1b) = 1(b + -9) Combine like terms: 8 + -3 = 5 5 + -1b = 1(b + -9) Reorder the terms: 5 + -1b = 1(-9 + b) 5 + -1b = (-9 * 1 + b * 1) 5 + -1b = (-9 + 1b) Solving 5 + -1b = -9 + 1b 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. 5 + -1b + -1b = -9 + 1b + -1b Combine like terms: -1b + -1b = -2b 5 + -2b = -9 + 1b + -1b Combine like terms: 1b + -1b = 0 5 + -2b = -9 + 0 5 + -2b = -9 Add '-5' to each side of the equation. 5 + -5 + -2b = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = -9 + -5 -2b = -9 + -5 Combine like terms: -9 + -5 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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