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Simplifying 8 + -1(4 + b) = b + -9 8 + (4 * -1 + b * -1) = b + -9 8 + (-4 + -1b) = b + -9 Combine like terms: 8 + -4 = 4 4 + -1b = b + -9 Reorder the terms: 4 + -1b = -9 + b Solving 4 + -1b = -9 + b 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. 4 + -1b + -1b = -9 + b + -1b Combine like terms: -1b + -1b = -2b 4 + -2b = -9 + b + -1b Combine like terms: b + -1b = 0 4 + -2b = -9 + 0 4 + -2b = -9 Add '-4' to each side of the equation. 4 + -4 + -2b = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -2b = -9 + -4 -2b = -9 + -4 Combine like terms: -9 + -4 = -13 -2b = -13 Divide each side by '-2'. b = 6.5 Simplifying b = 6.5
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