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Simplifying -8(k + -2) + -1(5k + -8) = -14k Reorder the terms: -8(-2 + k) + -1(5k + -8) = -14k (-2 * -8 + k * -8) + -1(5k + -8) = -14k (16 + -8k) + -1(5k + -8) = -14k Reorder the terms: 16 + -8k + -1(-8 + 5k) = -14k 16 + -8k + (-8 * -1 + 5k * -1) = -14k 16 + -8k + (8 + -5k) = -14k Reorder the terms: 16 + 8 + -8k + -5k = -14k Combine like terms: 16 + 8 = 24 24 + -8k + -5k = -14k Combine like terms: -8k + -5k = -13k 24 + -13k = -14k Solving 24 + -13k = -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 24 + -13k + 14k = -14k + 14k Combine like terms: -13k + 14k = 1k 24 + 1k = -14k + 14k Combine like terms: -14k + 14k = 0 24 + 1k = 0 Add '-24' to each side of the equation. 24 + -24 + 1k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1k = 0 + -24 1k = 0 + -24 Combine like terms: 0 + -24 = -24 1k = -24 Divide each side by '1'. k = -24 Simplifying k = -24
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