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Simplifying 6(b + 5) = 3b + -12 Reorder the terms: 6(5 + b) = 3b + -12 (5 * 6 + b * 6) = 3b + -12 (30 + 6b) = 3b + -12 Reorder the terms: 30 + 6b = -12 + 3b Solving 30 + 6b = -12 + 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. 30 + 6b + -3b = -12 + 3b + -3b Combine like terms: 6b + -3b = 3b 30 + 3b = -12 + 3b + -3b Combine like terms: 3b + -3b = 0 30 + 3b = -12 + 0 30 + 3b = -12 Add '-30' to each side of the equation. 30 + -30 + 3b = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 3b = -12 + -30 3b = -12 + -30 Combine like terms: -12 + -30 = -42 3b = -42 Divide each side by '3'. b = -14 Simplifying b = -14
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