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Simplifying 3(b + 2) + b = 3(b + -2) + -2 Reorder the terms: 3(2 + b) + b = 3(b + -2) + -2 (2 * 3 + b * 3) + b = 3(b + -2) + -2 (6 + 3b) + b = 3(b + -2) + -2 Combine like terms: 3b + b = 4b 6 + 4b = 3(b + -2) + -2 Reorder the terms: 6 + 4b = 3(-2 + b) + -2 6 + 4b = (-2 * 3 + b * 3) + -2 6 + 4b = (-6 + 3b) + -2 Reorder the terms: 6 + 4b = -6 + -2 + 3b Combine like terms: -6 + -2 = -8 6 + 4b = -8 + 3b Solving 6 + 4b = -8 + 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. 6 + 4b + -3b = -8 + 3b + -3b Combine like terms: 4b + -3b = 1b 6 + 1b = -8 + 3b + -3b Combine like terms: 3b + -3b = 0 6 + 1b = -8 + 0 6 + 1b = -8 Add '-6' to each side of the equation. 6 + -6 + 1b = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 1b = -8 + -6 1b = -8 + -6 Combine like terms: -8 + -6 = -14 1b = -14 Divide each side by '1'. b = -14 Simplifying b = -14
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