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Simplifying -206 = 4 + 7(4K + -6) Reorder the terms: -206 = 4 + 7(-6 + 4K) -206 = 4 + (-6 * 7 + 4K * 7) -206 = 4 + (-42 + 28K) Combine like terms: 4 + -42 = -38 -206 = -38 + 28K Solving -206 = -38 + 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. -206 + -28K = -38 + 28K + -28K Combine like terms: 28K + -28K = 0 -206 + -28K = -38 + 0 -206 + -28K = -38 Add '206' to each side of the equation. -206 + 206 + -28K = -38 + 206 Combine like terms: -206 + 206 = 0 0 + -28K = -38 + 206 -28K = -38 + 206 Combine like terms: -38 + 206 = 168 -28K = 168 Divide each side by '-28'. K = -6 Simplifying K = -6
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