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Simplifying -9(k + -1) + -1(2 + 4k) = -14k Reorder the terms: -9(-1 + k) + -1(2 + 4k) = -14k (-1 * -9 + k * -9) + -1(2 + 4k) = -14k (9 + -9k) + -1(2 + 4k) = -14k 9 + -9k + (2 * -1 + 4k * -1) = -14k 9 + -9k + (-2 + -4k) = -14k Reorder the terms: 9 + -2 + -9k + -4k = -14k Combine like terms: 9 + -2 = 7 7 + -9k + -4k = -14k Combine like terms: -9k + -4k = -13k 7 + -13k = -14k Solving 7 + -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. 7 + -13k + 14k = -14k + 14k Combine like terms: -13k + 14k = 1k 7 + 1k = -14k + 14k Combine like terms: -14k + 14k = 0 7 + 1k = 0 Add '-7' to each side of the equation. 7 + -7 + 1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = 0 + -7 1k = 0 + -7 Combine like terms: 0 + -7 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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