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Simplifying 6(4b + 2) + 3b = -27 + 14b Reorder the terms: 6(2 + 4b) + 3b = -27 + 14b (2 * 6 + 4b * 6) + 3b = -27 + 14b (12 + 24b) + 3b = -27 + 14b Combine like terms: 24b + 3b = 27b 12 + 27b = -27 + 14b Solving 12 + 27b = -27 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 12 + 27b + -14b = -27 + 14b + -14b Combine like terms: 27b + -14b = 13b 12 + 13b = -27 + 14b + -14b Combine like terms: 14b + -14b = 0 12 + 13b = -27 + 0 12 + 13b = -27 Add '-12' to each side of the equation. 12 + -12 + 13b = -27 + -12 Combine like terms: 12 + -12 = 0 0 + 13b = -27 + -12 13b = -27 + -12 Combine like terms: -27 + -12 = -39 13b = -39 Divide each side by '13'. b = -3 Simplifying b = -3
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