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Simplifying 5 = 3(4 + -1b) + 2 5 = (4 * 3 + -1b * 3) + 2 5 = (12 + -3b) + 2 Reorder the terms: 5 = 12 + 2 + -3b Combine like terms: 12 + 2 = 14 5 = 14 + -3b Solving 5 = 14 + -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. 5 + 3b = 14 + -3b + 3b Combine like terms: -3b + 3b = 0 5 + 3b = 14 + 0 5 + 3b = 14 Add '-5' to each side of the equation. 5 + -5 + 3b = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 14 + -5 3b = 14 + -5 Combine like terms: 14 + -5 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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