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Simplifying -4(5k + 1) + -1k = 61 Reorder the terms: -4(1 + 5k) + -1k = 61 (1 * -4 + 5k * -4) + -1k = 61 (-4 + -20k) + -1k = 61 Combine like terms: -20k + -1k = -21k -4 + -21k = 61 Solving -4 + -21k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -21k = 61 + 4 Combine like terms: -4 + 4 = 0 0 + -21k = 61 + 4 -21k = 61 + 4 Combine like terms: 61 + 4 = 65 -21k = 65 Divide each side by '-21'. k = -3.095238095 Simplifying k = -3.095238095
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