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Simplifying 3 + -6(6 + -1k) = -38 + 5k 3 + (6 * -6 + -1k * -6) = -38 + 5k 3 + (-36 + 6k) = -38 + 5k Combine like terms: 3 + -36 = -33 -33 + 6k = -38 + 5k Solving -33 + 6k = -38 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -33 + 6k + -5k = -38 + 5k + -5k Combine like terms: 6k + -5k = 1k -33 + 1k = -38 + 5k + -5k Combine like terms: 5k + -5k = 0 -33 + 1k = -38 + 0 -33 + 1k = -38 Add '33' to each side of the equation. -33 + 33 + 1k = -38 + 33 Combine like terms: -33 + 33 = 0 0 + 1k = -38 + 33 1k = -38 + 33 Combine like terms: -38 + 33 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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