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Simplifying 13 = 5k + -1(k + 5) Reorder the terms: 13 = 5k + -1(5 + k) 13 = 5k + (5 * -1 + k * -1) 13 = 5k + (-5 + -1k) Reorder the terms: 13 = -5 + 5k + -1k Combine like terms: 5k + -1k = 4k 13 = -5 + 4k Solving 13 = -5 + 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. 13 + -4k = -5 + 4k + -4k Combine like terms: 4k + -4k = 0 13 + -4k = -5 + 0 13 + -4k = -5 Add '-13' to each side of the equation. 13 + -13 + -4k = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -4k = -5 + -13 -4k = -5 + -13 Combine like terms: -5 + -13 = -18 -4k = -18 Divide each side by '-4'. k = 4.5 Simplifying k = 4.5
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