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Simplifying -5(k + 2) + -13 = -4k + -17 Reorder the terms: -5(2 + k) + -13 = -4k + -17 (2 * -5 + k * -5) + -13 = -4k + -17 (-10 + -5k) + -13 = -4k + -17 Reorder the terms: -10 + -13 + -5k = -4k + -17 Combine like terms: -10 + -13 = -23 -23 + -5k = -4k + -17 Reorder the terms: -23 + -5k = -17 + -4k Solving -23 + -5k = -17 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -23 + -5k + 4k = -17 + -4k + 4k Combine like terms: -5k + 4k = -1k -23 + -1k = -17 + -4k + 4k Combine like terms: -4k + 4k = 0 -23 + -1k = -17 + 0 -23 + -1k = -17 Add '23' to each side of the equation. -23 + 23 + -1k = -17 + 23 Combine like terms: -23 + 23 = 0 0 + -1k = -17 + 23 -1k = -17 + 23 Combine like terms: -17 + 23 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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