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Simplifying -1(9 + -3k) + -1(4 + 2k) + -4 = -1(2 + -5k) + -1k (9 * -1 + -3k * -1) + -1(4 + 2k) + -4 = -1(2 + -5k) + -1k (-9 + 3k) + -1(4 + 2k) + -4 = -1(2 + -5k) + -1k -9 + 3k + (4 * -1 + 2k * -1) + -4 = -1(2 + -5k) + -1k -9 + 3k + (-4 + -2k) + -4 = -1(2 + -5k) + -1k Reorder the terms: -9 + -4 + -4 + 3k + -2k = -1(2 + -5k) + -1k Combine like terms: -9 + -4 = -13 -13 + -4 + 3k + -2k = -1(2 + -5k) + -1k Combine like terms: -13 + -4 = -17 -17 + 3k + -2k = -1(2 + -5k) + -1k Combine like terms: 3k + -2k = 1k -17 + 1k = -1(2 + -5k) + -1k -17 + 1k = (2 * -1 + -5k * -1) + -1k -17 + 1k = (-2 + 5k) + -1k Combine like terms: 5k + -1k = 4k -17 + 1k = -2 + 4k Solving -17 + 1k = -2 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -17 + 1k + -4k = -2 + 4k + -4k Combine like terms: 1k + -4k = -3k -17 + -3k = -2 + 4k + -4k Combine like terms: 4k + -4k = 0 -17 + -3k = -2 + 0 -17 + -3k = -2 Add '17' to each side of the equation. -17 + 17 + -3k = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -3k = -2 + 17 -3k = -2 + 17 Combine like terms: -2 + 17 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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