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Simplifying 5(3 + 8b) + -1(b + 3) = -27 (3 * 5 + 8b * 5) + -1(b + 3) = -27 (15 + 40b) + -1(b + 3) = -27 Reorder the terms: 15 + 40b + -1(3 + b) = -27 15 + 40b + (3 * -1 + b * -1) = -27 15 + 40b + (-3 + -1b) = -27 Reorder the terms: 15 + -3 + 40b + -1b = -27 Combine like terms: 15 + -3 = 12 12 + 40b + -1b = -27 Combine like terms: 40b + -1b = 39b 12 + 39b = -27 Solving 12 + 39b = -27 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 39b = -27 + -12 Combine like terms: 12 + -12 = 0 0 + 39b = -27 + -12 39b = -27 + -12 Combine like terms: -27 + -12 = -39 39b = -39 Divide each side by '39'. b = -1 Simplifying b = -1
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