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