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Simplifying 5(k + 6) = -8 + -1(-2 + -1k) Reorder the terms: 5(6 + k) = -8 + -1(-2 + -1k) (6 * 5 + k * 5) = -8 + -1(-2 + -1k) (30 + 5k) = -8 + -1(-2 + -1k) 30 + 5k = -8 + (-2 * -1 + -1k * -1) 30 + 5k = -8 + (2 + 1k) Combine like terms: -8 + 2 = -6 30 + 5k = -6 + 1k Solving 30 + 5k = -6 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 30 + 5k + -1k = -6 + 1k + -1k Combine like terms: 5k + -1k = 4k 30 + 4k = -6 + 1k + -1k Combine like terms: 1k + -1k = 0 30 + 4k = -6 + 0 30 + 4k = -6 Add '-30' to each side of the equation. 30 + -30 + 4k = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 4k = -6 + -30 4k = -6 + -30 Combine like terms: -6 + -30 = -36 4k = -36 Divide each side by '4'. k = -9 Simplifying k = -9
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