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Simplifying 2(b + 6) = 5d + -6 Reorder the terms: 2(6 + b) = 5d + -6 (6 * 2 + b * 2) = 5d + -6 (12 + 2b) = 5d + -6 Reorder the terms: 12 + 2b = -6 + 5d Solving 12 + 2b = -6 + 5d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2b = -6 + -12 + 5d Combine like terms: 12 + -12 = 0 0 + 2b = -6 + -12 + 5d 2b = -6 + -12 + 5d Combine like terms: -6 + -12 = -18 2b = -18 + 5d Divide each side by '2'. b = -9 + 2.5d Simplifying b = -9 + 2.5d
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