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Simplifying 4[2x + -4] = 8x + k Reorder the terms: 4[-4 + 2x] = 8x + k [-4 * 4 + 2x * 4] = 8x + k [-16 + 8x] = 8x + k Reorder the terms: -16 + 8x = k + 8x Add '-8x' to each side of the equation. -16 + 8x + -8x = k + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 0 = k + 8x + -8x -16 = k + 8x + -8x Combine like terms: 8x + -8x = 0 -16 = k + 0 -16 = k Solving -16 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -16 + -1k = k + -1k Combine like terms: k + -1k = 0 -16 + -1k = 0 Add '16' to each side of the equation. -16 + 16 + -1k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1k = 0 + 16 -1k = 0 + 16 Combine like terms: 0 + 16 = 16 -1k = 16 Divide each side by '-1'. k = -16 Simplifying k = -16
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