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Simplifying 85 = 5(b + 6) Reorder the terms: 85 = 5(6 + b) 85 = (6 * 5 + b * 5) 85 = (30 + 5b) Solving 85 = 30 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 85 + -5b = 30 + 5b + -5b Combine like terms: 5b + -5b = 0 85 + -5b = 30 + 0 85 + -5b = 30 Add '-85' to each side of the equation. 85 + -85 + -5b = 30 + -85 Combine like terms: 85 + -85 = 0 0 + -5b = 30 + -85 -5b = 30 + -85 Combine like terms: 30 + -85 = -55 -5b = -55 Divide each side by '-5'. b = 11 Simplifying b = 11
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