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Simplifying 3(b + 4) + 3 = 7b + 3 + -2b Reorder the terms: 3(4 + b) + 3 = 7b + 3 + -2b (4 * 3 + b * 3) + 3 = 7b + 3 + -2b (12 + 3b) + 3 = 7b + 3 + -2b Reorder the terms: 12 + 3 + 3b = 7b + 3 + -2b Combine like terms: 12 + 3 = 15 15 + 3b = 7b + 3 + -2b Reorder the terms: 15 + 3b = 3 + 7b + -2b Combine like terms: 7b + -2b = 5b 15 + 3b = 3 + 5b Solving 15 + 3b = 3 + 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 + 3b + -5b = 3 + 5b + -5b Combine like terms: 3b + -5b = -2b 15 + -2b = 3 + 5b + -5b Combine like terms: 5b + -5b = 0 15 + -2b = 3 + 0 15 + -2b = 3 Add '-15' to each side of the equation. 15 + -15 + -2b = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -2b = 3 + -15 -2b = 3 + -15 Combine like terms: 3 + -15 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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