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Simplifying 19 + -2k = 4(k + 10) + -1k Reorder the terms: 19 + -2k = 4(10 + k) + -1k 19 + -2k = (10 * 4 + k * 4) + -1k 19 + -2k = (40 + 4k) + -1k Combine like terms: 4k + -1k = 3k 19 + -2k = 40 + 3k Solving 19 + -2k = 40 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 19 + -2k + -3k = 40 + 3k + -3k Combine like terms: -2k + -3k = -5k 19 + -5k = 40 + 3k + -3k Combine like terms: 3k + -3k = 0 19 + -5k = 40 + 0 19 + -5k = 40 Add '-19' to each side of the equation. 19 + -19 + -5k = 40 + -19 Combine like terms: 19 + -19 = 0 0 + -5k = 40 + -19 -5k = 40 + -19 Combine like terms: 40 + -19 = 21 -5k = 21 Divide each side by '-5'. k = -4.2 Simplifying k = -4.2
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