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Simplifying -4(k + -4) + -13 = -3k + -17 Reorder the terms: -4(-4 + k) + -13 = -3k + -17 (-4 * -4 + k * -4) + -13 = -3k + -17 (16 + -4k) + -13 = -3k + -17 Reorder the terms: 16 + -13 + -4k = -3k + -17 Combine like terms: 16 + -13 = 3 3 + -4k = -3k + -17 Reorder the terms: 3 + -4k = -17 + -3k Solving 3 + -4k = -17 + -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. 3 + -4k + 3k = -17 + -3k + 3k Combine like terms: -4k + 3k = -1k 3 + -1k = -17 + -3k + 3k Combine like terms: -3k + 3k = 0 3 + -1k = -17 + 0 3 + -1k = -17 Add '-3' to each side of the equation. 3 + -3 + -1k = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = -17 + -3 -1k = -17 + -3 Combine like terms: -17 + -3 = -20 -1k = -20 Divide each side by '-1'. k = 20 Simplifying k = 20
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