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Simplifying 2(4 + 2k) + b = k (4 * 2 + 2k * 2) + b = k (8 + 4k) + b = k Reorder the terms: 8 + b + 4k = k Solving 8 + b + 4k = k Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + b + -8 + 4k = -8 + k Reorder the terms: 8 + -8 + b + 4k = -8 + k Combine like terms: 8 + -8 = 0 0 + b + 4k = -8 + k b + 4k = -8 + k Add '-4k' to each side of the equation. b + 4k + -4k = -8 + k + -4k Combine like terms: 4k + -4k = 0 b + 0 = -8 + k + -4k b = -8 + k + -4k Combine like terms: k + -4k = -3k b = -8 + -3k Simplifying b = -8 + -3k
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