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