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Simplifying 128 = 8(2k + 4) Reorder the terms: 128 = 8(4 + 2k) 128 = (4 * 8 + 2k * 8) 128 = (32 + 16k) Solving 128 = 32 + 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. 128 + -16k = 32 + 16k + -16k Combine like terms: 16k + -16k = 0 128 + -16k = 32 + 0 128 + -16k = 32 Add '-128' to each side of the equation. 128 + -128 + -16k = 32 + -128 Combine like terms: 128 + -128 = 0 0 + -16k = 32 + -128 -16k = 32 + -128 Combine like terms: 32 + -128 = -96 -16k = -96 Divide each side by '-16'. k = 6 Simplifying k = 6
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