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Simplifying -5(k + -2) + 9 = -4k + 12 Reorder the terms: -5(-2 + k) + 9 = -4k + 12 (-2 * -5 + k * -5) + 9 = -4k + 12 (10 + -5k) + 9 = -4k + 12 Reorder the terms: 10 + 9 + -5k = -4k + 12 Combine like terms: 10 + 9 = 19 19 + -5k = -4k + 12 Reorder the terms: 19 + -5k = 12 + -4k Solving 19 + -5k = 12 + -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. 19 + -5k + 4k = 12 + -4k + 4k Combine like terms: -5k + 4k = -1k 19 + -1k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 19 + -1k = 12 + 0 19 + -1k = 12 Add '-19' to each side of the equation. 19 + -19 + -1k = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -1k = 12 + -19 -1k = 12 + -19 Combine like terms: 12 + -19 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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