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Simplifying 47 = -11 + 3(b + 5) Reorder the terms: 47 = -11 + 3(5 + b) 47 = -11 + (5 * 3 + b * 3) 47 = -11 + (15 + 3b) Combine like terms: -11 + 15 = 4 47 = 4 + 3b Solving 47 = 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. 47 + -3b = 4 + 3b + -3b Combine like terms: 3b + -3b = 0 47 + -3b = 4 + 0 47 + -3b = 4 Add '-47' to each side of the equation. 47 + -47 + -3b = 4 + -47 Combine like terms: 47 + -47 = 0 0 + -3b = 4 + -47 -3b = 4 + -47 Combine like terms: 4 + -47 = -43 -3b = -43 Divide each side by '-3'. b = 14.33333333 Simplifying b = 14.33333333
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