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Simplifying -6(1 + -8k) + -7 = 227 (1 * -6 + -8k * -6) + -7 = 227 (-6 + 48k) + -7 = 227 Reorder the terms: -6 + -7 + 48k = 227 Combine like terms: -6 + -7 = -13 -13 + 48k = 227 Solving -13 + 48k = 227 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 48k = 227 + 13 Combine like terms: -13 + 13 = 0 0 + 48k = 227 + 13 48k = 227 + 13 Combine like terms: 227 + 13 = 240 48k = 240 Divide each side by '48'. k = 5 Simplifying k = 5
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