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Simplifying 60 = -6(1 + -1b) + 5(5b + 7) 60 = (1 * -6 + -1b * -6) + 5(5b + 7) 60 = (-6 + 6b) + 5(5b + 7) Reorder the terms: 60 = -6 + 6b + 5(7 + 5b) 60 = -6 + 6b + (7 * 5 + 5b * 5) 60 = -6 + 6b + (35 + 25b) Reorder the terms: 60 = -6 + 35 + 6b + 25b Combine like terms: -6 + 35 = 29 60 = 29 + 6b + 25b Combine like terms: 6b + 25b = 31b 60 = 29 + 31b Solving 60 = 29 + 31b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-31b' to each side of the equation. 60 + -31b = 29 + 31b + -31b Combine like terms: 31b + -31b = 0 60 + -31b = 29 + 0 60 + -31b = 29 Add '-60' to each side of the equation. 60 + -60 + -31b = 29 + -60 Combine like terms: 60 + -60 = 0 0 + -31b = 29 + -60 -31b = 29 + -60 Combine like terms: 29 + -60 = -31 -31b = -31 Divide each side by '-31'. b = 1 Simplifying b = 1
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