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Simplifying 108 = 6(b + 7) Reorder the terms: 108 = 6(7 + b) 108 = (7 * 6 + b * 6) 108 = (42 + 6b) Solving 108 = 42 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 108 + -6b = 42 + 6b + -6b Combine like terms: 6b + -6b = 0 108 + -6b = 42 + 0 108 + -6b = 42 Add '-108' to each side of the equation. 108 + -108 + -6b = 42 + -108 Combine like terms: 108 + -108 = 0 0 + -6b = 42 + -108 -6b = 42 + -108 Combine like terms: 42 + -108 = -66 -6b = -66 Divide each side by '-6'. b = 11 Simplifying b = 11
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