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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 = -9k 8 + -9k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -9k = 13 + 0 8 + -9k = 13 Add '-8' to each side of the equation. 8 + -8 + -9k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -9k = 13 + -8 -9k = 13 + -8 Combine like terms: 13 + -8 = 5 -9k = 5 Divide each side by '-9'. k = -0.5555555556 Simplifying k = -0.5555555556
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