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Simplifying -5k + 38 = -6(k + -5) Reorder the terms: 38 + -5k = -6(k + -5) Reorder the terms: 38 + -5k = -6(-5 + k) 38 + -5k = (-5 * -6 + k * -6) 38 + -5k = (30 + -6k) Solving 38 + -5k = 30 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 38 + -5k + 6k = 30 + -6k + 6k Combine like terms: -5k + 6k = 1k 38 + 1k = 30 + -6k + 6k Combine like terms: -6k + 6k = 0 38 + 1k = 30 + 0 38 + 1k = 30 Add '-38' to each side of the equation. 38 + -38 + 1k = 30 + -38 Combine like terms: 38 + -38 = 0 0 + 1k = 30 + -38 1k = 30 + -38 Combine like terms: 30 + -38 = -8 1k = -8 Divide each side by '1'. k = -8 Simplifying k = -8
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