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Simplifying -128 = 7(2 + -4K) + -2 -128 = (2 * 7 + -4K * 7) + -2 -128 = (14 + -28K) + -2 Reorder the terms: -128 = 14 + -2 + -28K Combine like terms: 14 + -2 = 12 -128 = 12 + -28K Solving -128 = 12 + -28K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '28K' to each side of the equation. -128 + 28K = 12 + -28K + 28K Combine like terms: -28K + 28K = 0 -128 + 28K = 12 + 0 -128 + 28K = 12 Add '128' to each side of the equation. -128 + 128 + 28K = 12 + 128 Combine like terms: -128 + 128 = 0 0 + 28K = 12 + 128 28K = 12 + 128 Combine like terms: 12 + 128 = 140 28K = 140 Divide each side by '28'. K = 5 Simplifying K = 5
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