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Simplifying 3(b + 5) + -11 = 7 Reorder the terms: 3(5 + b) + -11 = 7 (5 * 3 + b * 3) + -11 = 7 (15 + 3b) + -11 = 7 Reorder the terms: 15 + -11 + 3b = 7 Combine like terms: 15 + -11 = 4 4 + 3b = 7 Solving 4 + 3b = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3b = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 7 + -4 3b = 7 + -4 Combine like terms: 7 + -4 = 3 3b = 3 Divide each side by '3'. b = 1 Simplifying b = 1
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