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Simplifying 4(b + 5) + -5 = 12 + b Reorder the terms: 4(5 + b) + -5 = 12 + b (5 * 4 + b * 4) + -5 = 12 + b (20 + 4b) + -5 = 12 + b Reorder the terms: 20 + -5 + 4b = 12 + b Combine like terms: 20 + -5 = 15 15 + 4b = 12 + b Solving 15 + 4b = 12 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 15 + 4b + -1b = 12 + b + -1b Combine like terms: 4b + -1b = 3b 15 + 3b = 12 + b + -1b Combine like terms: b + -1b = 0 15 + 3b = 12 + 0 15 + 3b = 12 Add '-15' to each side of the equation. 15 + -15 + 3b = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3b = 12 + -15 3b = 12 + -15 Combine like terms: 12 + -15 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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