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Simplifying -56 = 4(4k + 2) Reorder the terms: -56 = 4(2 + 4k) -56 = (2 * 4 + 4k * 4) -56 = (8 + 16k) Solving -56 = 8 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -56 + -16k = 8 + 16k + -16k Combine like terms: 16k + -16k = 0 -56 + -16k = 8 + 0 -56 + -16k = 8 Add '56' to each side of the equation. -56 + 56 + -16k = 8 + 56 Combine like terms: -56 + 56 = 0 0 + -16k = 8 + 56 -16k = 8 + 56 Combine like terms: 8 + 56 = 64 -16k = 64 Divide each side by '-16'. k = -4 Simplifying k = -4
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