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Simplifying 8(7 + 6b) + b = 14 + 7b (7 * 8 + 6b * 8) + b = 14 + 7b (56 + 48b) + b = 14 + 7b Combine like terms: 48b + b = 49b 56 + 49b = 14 + 7b Solving 56 + 49b = 14 + 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. 56 + 49b + -7b = 14 + 7b + -7b Combine like terms: 49b + -7b = 42b 56 + 42b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 56 + 42b = 14 + 0 56 + 42b = 14 Add '-56' to each side of the equation. 56 + -56 + 42b = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 42b = 14 + -56 42b = 14 + -56 Combine like terms: 14 + -56 = -42 42b = -42 Divide each side by '42'. b = -1 Simplifying b = -1
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