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Simplifying 8(b + 1) + 4 = 7b Reorder the terms: 8(1 + b) + 4 = 7b (1 * 8 + b * 8) + 4 = 7b (8 + 8b) + 4 = 7b Reorder the terms: 8 + 4 + 8b = 7b Combine like terms: 8 + 4 = 12 12 + 8b = 7b Solving 12 + 8b = 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 12 + 8b + -7b = 7b + -7b Combine like terms: 8b + -7b = 1b 12 + 1b = 7b + -7b Combine like terms: 7b + -7b = 0 12 + 1b = 0 Add '-12' to each side of the equation. 12 + -12 + 1b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 0 + -12 1b = 0 + -12 Combine like terms: 0 + -12 = -12 1b = -12 Divide each side by '1'. b = -12 Simplifying b = -12
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