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Simplifying 6 + 4k + -12k + 12 + 2b = 0 Reorder the terms: 6 + 12 + 2b + 4k + -12k = 0 Combine like terms: 6 + 12 = 18 18 + 2b + 4k + -12k = 0 Combine like terms: 4k + -12k = -8k 18 + 2b + -8k = 0 Solving 18 + 2b + -8k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 2b + -18 + -8k = 0 + -18 Reorder the terms: 18 + -18 + 2b + -8k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2b + -8k = 0 + -18 2b + -8k = 0 + -18 Combine like terms: 0 + -18 = -18 2b + -8k = -18 Add '8k' to each side of the equation. 2b + -8k + 8k = -18 + 8k Combine like terms: -8k + 8k = 0 2b + 0 = -18 + 8k 2b = -18 + 8k Divide each side by '2'. b = -9 + 4k Simplifying b = -9 + 4k
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