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Simplifying 4(6 + -5k) + -5 = -101 (6 * 4 + -5k * 4) + -5 = -101 (24 + -20k) + -5 = -101 Reorder the terms: 24 + -5 + -20k = -101 Combine like terms: 24 + -5 = 19 19 + -20k = -101 Solving 19 + -20k = -101 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -20k = -101 + -19 Combine like terms: 19 + -19 = 0 0 + -20k = -101 + -19 -20k = -101 + -19 Combine like terms: -101 + -19 = -120 -20k = -120 Divide each side by '-20'. k = 6 Simplifying k = 6
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