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Simplifying -4(5k + -4) = -1 + -3k Reorder the terms: -4(-4 + 5k) = -1 + -3k (-4 * -4 + 5k * -4) = -1 + -3k (16 + -20k) = -1 + -3k Solving 16 + -20k = -1 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 16 + -20k + 3k = -1 + -3k + 3k Combine like terms: -20k + 3k = -17k 16 + -17k = -1 + -3k + 3k Combine like terms: -3k + 3k = 0 16 + -17k = -1 + 0 16 + -17k = -1 Add '-16' to each side of the equation. 16 + -16 + -17k = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -17k = -1 + -16 -17k = -1 + -16 Combine like terms: -1 + -16 = -17 -17k = -17 Divide each side by '-17'. k = 1 Simplifying k = 1
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