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Simplifying 6 + 2k + -3b + 8k + 8 + 6b = 0 Reorder the terms: 6 + 8 + -3b + 6b + 2k + 8k = 0 Combine like terms: 6 + 8 = 14 14 + -3b + 6b + 2k + 8k = 0 Combine like terms: -3b + 6b = 3b 14 + 3b + 2k + 8k = 0 Combine like terms: 2k + 8k = 10k 14 + 3b + 10k = 0 Solving 14 + 3b + 10k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 3b + -14 + 10k = 0 + -14 Reorder the terms: 14 + -14 + 3b + 10k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3b + 10k = 0 + -14 3b + 10k = 0 + -14 Combine like terms: 0 + -14 = -14 3b + 10k = -14 Add '-10k' to each side of the equation. 3b + 10k + -10k = -14 + -10k Combine like terms: 10k + -10k = 0 3b + 0 = -14 + -10k 3b = -14 + -10k Divide each side by '3'. b = -4.666666667 + -3.333333333k Simplifying b = -4.666666667 + -3.333333333k
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