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Simplifying 2 + -1(-9k + -28) = 6 + -15k Reorder the terms: 2 + -1(-28 + -9k) = 6 + -15k 2 + (-28 * -1 + -9k * -1) = 6 + -15k 2 + (28 + 9k) = 6 + -15k Combine like terms: 2 + 28 = 30 30 + 9k = 6 + -15k Solving 30 + 9k = 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 + 9k + 15k = 6 + -15k + 15k Combine like terms: 9k + 15k = 24k 30 + 24k = 6 + -15k + 15k Combine like terms: -15k + 15k = 0 30 + 24k = 6 + 0 30 + 24k = 6 Add '-30' to each side of the equation. 30 + -30 + 24k = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 24k = 6 + -30 24k = 6 + -30 Combine like terms: 6 + -30 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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