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Simplifying 8(b + 1) + 4 = 3(2b + -8) + -16 Reorder the terms: 8(1 + b) + 4 = 3(2b + -8) + -16 (1 * 8 + b * 8) + 4 = 3(2b + -8) + -16 (8 + 8b) + 4 = 3(2b + -8) + -16 Reorder the terms: 8 + 4 + 8b = 3(2b + -8) + -16 Combine like terms: 8 + 4 = 12 12 + 8b = 3(2b + -8) + -16 Reorder the terms: 12 + 8b = 3(-8 + 2b) + -16 12 + 8b = (-8 * 3 + 2b * 3) + -16 12 + 8b = (-24 + 6b) + -16 Reorder the terms: 12 + 8b = -24 + -16 + 6b Combine like terms: -24 + -16 = -40 12 + 8b = -40 + 6b Solving 12 + 8b = -40 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 12 + 8b + -6b = -40 + 6b + -6b Combine like terms: 8b + -6b = 2b 12 + 2b = -40 + 6b + -6b Combine like terms: 6b + -6b = 0 12 + 2b = -40 + 0 12 + 2b = -40 Add '-12' to each side of the equation. 12 + -12 + 2b = -40 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = -40 + -12 2b = -40 + -12 Combine like terms: -40 + -12 = -52 2b = -52 Divide each side by '2'. b = -26 Simplifying b = -26
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