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Simplifying -5(k + -2) + 3 = -4k + 19 Reorder the terms: -5(-2 + k) + 3 = -4k + 19 (-2 * -5 + k * -5) + 3 = -4k + 19 (10 + -5k) + 3 = -4k + 19 Reorder the terms: 10 + 3 + -5k = -4k + 19 Combine like terms: 10 + 3 = 13 13 + -5k = -4k + 19 Reorder the terms: 13 + -5k = 19 + -4k Solving 13 + -5k = 19 + -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. 13 + -5k + 4k = 19 + -4k + 4k Combine like terms: -5k + 4k = -1k 13 + -1k = 19 + -4k + 4k Combine like terms: -4k + 4k = 0 13 + -1k = 19 + 0 13 + -1k = 19 Add '-13' to each side of the equation. 13 + -13 + -1k = 19 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 19 + -13 -1k = 19 + -13 Combine like terms: 19 + -13 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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