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Simplifying 945 = 27(b + 11) Reorder the terms: 945 = 27(11 + b) 945 = (11 * 27 + b * 27) 945 = (297 + 27b) Solving 945 = 297 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. 945 + -27b = 297 + 27b + -27b Combine like terms: 27b + -27b = 0 945 + -27b = 297 + 0 945 + -27b = 297 Add '-945' to each side of the equation. 945 + -945 + -27b = 297 + -945 Combine like terms: 945 + -945 = 0 0 + -27b = 297 + -945 -27b = 297 + -945 Combine like terms: 297 + -945 = -648 -27b = -648 Divide each side by '-27'. b = 24 Simplifying b = 24
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