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Simplifying -8(k + -3) + -1(6k + -1) = -15k Reorder the terms: -8(-3 + k) + -1(6k + -1) = -15k (-3 * -8 + k * -8) + -1(6k + -1) = -15k (24 + -8k) + -1(6k + -1) = -15k Reorder the terms: 24 + -8k + -1(-1 + 6k) = -15k 24 + -8k + (-1 * -1 + 6k * -1) = -15k 24 + -8k + (1 + -6k) = -15k Reorder the terms: 24 + 1 + -8k + -6k = -15k Combine like terms: 24 + 1 = 25 25 + -8k + -6k = -15k Combine like terms: -8k + -6k = -14k 25 + -14k = -15k Solving 25 + -14k = -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. 25 + -14k + 15k = -15k + 15k Combine like terms: -14k + 15k = 1k 25 + 1k = -15k + 15k Combine like terms: -15k + 15k = 0 25 + 1k = 0 Add '-25' to each side of the equation. 25 + -25 + 1k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1k = 0 + -25 1k = 0 + -25 Combine like terms: 0 + -25 = -25 1k = -25 Divide each side by '1'. k = -25 Simplifying k = -25
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