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Simplifying -5(k + 1) + 13 = -4k + 13 Reorder the terms: -5(1 + k) + 13 = -4k + 13 (1 * -5 + k * -5) + 13 = -4k + 13 (-5 + -5k) + 13 = -4k + 13 Reorder the terms: -5 + 13 + -5k = -4k + 13 Combine like terms: -5 + 13 = 8 8 + -5k = -4k + 13 Reorder the terms: 8 + -5k = 13 + -4k Solving 8 + -5k = 13 + -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. 8 + -5k + 4k = 13 + -4k + 4k Combine like terms: -5k + 4k = -1k 8 + -1k = 13 + -4k + 4k Combine like terms: -4k + 4k = 0 8 + -1k = 13 + 0 8 + -1k = 13 Add '-8' to each side of the equation. 8 + -8 + -1k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 13 + -8 -1k = 13 + -8 Combine like terms: 13 + -8 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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