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Simplifying 2(b + 4) + 7 = 27 + 5b Reorder the terms: 2(4 + b) + 7 = 27 + 5b (4 * 2 + b * 2) + 7 = 27 + 5b (8 + 2b) + 7 = 27 + 5b Reorder the terms: 8 + 7 + 2b = 27 + 5b Combine like terms: 8 + 7 = 15 15 + 2b = 27 + 5b Solving 15 + 2b = 27 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 15 + 2b + -5b = 27 + 5b + -5b Combine like terms: 2b + -5b = -3b 15 + -3b = 27 + 5b + -5b Combine like terms: 5b + -5b = 0 15 + -3b = 27 + 0 15 + -3b = 27 Add '-15' to each side of the equation. 15 + -15 + -3b = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -3b = 27 + -15 -3b = 27 + -15 Combine like terms: 27 + -15 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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