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Simplifying -5(k + 2) = 13 + -1(k + -1) Reorder the terms: -5(2 + k) = 13 + -1(k + -1) (2 * -5 + k * -5) = 13 + -1(k + -1) (-10 + -5k) = 13 + -1(k + -1) Reorder the terms: -10 + -5k = 13 + -1(-1 + k) -10 + -5k = 13 + (-1 * -1 + k * -1) -10 + -5k = 13 + (1 + -1k) Combine like terms: 13 + 1 = 14 -10 + -5k = 14 + -1k Solving -10 + -5k = 14 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -10 + -5k + k = 14 + -1k + k Combine like terms: -5k + k = -4k -10 + -4k = 14 + -1k + k Combine like terms: -1k + k = 0 -10 + -4k = 14 + 0 -10 + -4k = 14 Add '10' to each side of the equation. -10 + 10 + -4k = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -4k = 14 + 10 -4k = 14 + 10 Combine like terms: 14 + 10 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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