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Simplifying 92 = 5k + 4(-4k + 1) Reorder the terms: 92 = 5k + 4(1 + -4k) 92 = 5k + (1 * 4 + -4k * 4) 92 = 5k + (4 + -16k) Reorder the terms: 92 = 4 + 5k + -16k Combine like terms: 5k + -16k = -11k 92 = 4 + -11k Solving 92 = 4 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. 92 + 11k = 4 + -11k + 11k Combine like terms: -11k + 11k = 0 92 + 11k = 4 + 0 92 + 11k = 4 Add '-92' to each side of the equation. 92 + -92 + 11k = 4 + -92 Combine like terms: 92 + -92 = 0 0 + 11k = 4 + -92 11k = 4 + -92 Combine like terms: 4 + -92 = -88 11k = -88 Divide each side by '11'. k = -8 Simplifying k = -8
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