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Simplifying 5(5 + 7b) + 7b = -227 (5 * 5 + 7b * 5) + 7b = -227 (25 + 35b) + 7b = -227 Combine like terms: 35b + 7b = 42b 25 + 42b = -227 Solving 25 + 42b = -227 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 42b = -227 + -25 Combine like terms: 25 + -25 = 0 0 + 42b = -227 + -25 42b = -227 + -25 Combine like terms: -227 + -25 = -252 42b = -252 Divide each side by '42'. b = -6 Simplifying b = -6
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