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Simplifying 5(b + 4) + -1(1 + b) = -9 Reorder the terms: 5(4 + b) + -1(1 + b) = -9 (4 * 5 + b * 5) + -1(1 + b) = -9 (20 + 5b) + -1(1 + b) = -9 20 + 5b + (1 * -1 + b * -1) = -9 20 + 5b + (-1 + -1b) = -9 Reorder the terms: 20 + -1 + 5b + -1b = -9 Combine like terms: 20 + -1 = 19 19 + 5b + -1b = -9 Combine like terms: 5b + -1b = 4b 19 + 4b = -9 Solving 19 + 4b = -9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4b = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 4b = -9 + -19 4b = -9 + -19 Combine like terms: -9 + -19 = -28 4b = -28 Divide each side by '4'. b = -7 Simplifying b = -7
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