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Simplifying 7 = -11 + 3(b + 15) Reorder the terms: 7 = -11 + 3(15 + b) 7 = -11 + (15 * 3 + b * 3) 7 = -11 + (45 + 3b) Combine like terms: -11 + 45 = 34 7 = 34 + 3b Solving 7 = 34 + 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 = 34 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + -3b = 34 + 0 7 + -3b = 34 Add '-7' to each side of the equation. 7 + -7 + -3b = 34 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 34 + -7 -3b = 34 + -7 Combine like terms: 34 + -7 = 27 -3b = 27 Divide each side by '-3'. b = -9 Simplifying b = -9
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