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Simplifying 2 + -1(-1k + -28) = 6 + -15k Reorder the terms: 2 + -1(-28 + -1k) = 6 + -15k 2 + (-28 * -1 + -1k * -1) = 6 + -15k 2 + (28 + 1k) = 6 + -15k Combine like terms: 2 + 28 = 30 30 + 1k = 6 + -15k Solving 30 + 1k = 6 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 30 + 1k + 15k = 6 + -15k + 15k Combine like terms: 1k + 15k = 16k 30 + 16k = 6 + -15k + 15k Combine like terms: -15k + 15k = 0 30 + 16k = 6 + 0 30 + 16k = 6 Add '-30' to each side of the equation. 30 + -30 + 16k = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 16k = 6 + -30 16k = 6 + -30 Combine like terms: 6 + -30 = -24 16k = -24 Divide each side by '16'. k = -1.5 Simplifying k = -1.5
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