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Simplifying 3(b + 4) + 5 = 2b + -2 Reorder the terms: 3(4 + b) + 5 = 2b + -2 (4 * 3 + b * 3) + 5 = 2b + -2 (12 + 3b) + 5 = 2b + -2 Reorder the terms: 12 + 5 + 3b = 2b + -2 Combine like terms: 12 + 5 = 17 17 + 3b = 2b + -2 Reorder the terms: 17 + 3b = -2 + 2b Solving 17 + 3b = -2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 17 + 3b + -2b = -2 + 2b + -2b Combine like terms: 3b + -2b = 1b 17 + 1b = -2 + 2b + -2b Combine like terms: 2b + -2b = 0 17 + 1b = -2 + 0 17 + 1b = -2 Add '-17' to each side of the equation. 17 + -17 + 1b = -2 + -17 Combine like terms: 17 + -17 = 0 0 + 1b = -2 + -17 1b = -2 + -17 Combine like terms: -2 + -17 = -19 1b = -19 Divide each side by '1'. b = -19 Simplifying b = -19
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