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Simplifying 82b + -3b + 7 = 71b + 19 + -7 Reorder the terms: 7 + 82b + -3b = 71b + 19 + -7 Combine like terms: 82b + -3b = 79b 7 + 79b = 71b + 19 + -7 Reorder the terms: 7 + 79b = 19 + -7 + 71b Combine like terms: 19 + -7 = 12 7 + 79b = 12 + 71b Solving 7 + 79b = 12 + 71b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-71b' to each side of the equation. 7 + 79b + -71b = 12 + 71b + -71b Combine like terms: 79b + -71b = 8b 7 + 8b = 12 + 71b + -71b Combine like terms: 71b + -71b = 0 7 + 8b = 12 + 0 7 + 8b = 12 Add '-7' to each side of the equation. 7 + -7 + 8b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 8b = 12 + -7 8b = 12 + -7 Combine like terms: 12 + -7 = 5 8b = 5 Divide each side by '8'. b = 0.625 Simplifying b = 0.625
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