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Simplifying -7(4k + 2) = -5k + 9 Reorder the terms: -7(2 + 4k) = -5k + 9 (2 * -7 + 4k * -7) = -5k + 9 (-14 + -28k) = -5k + 9 Reorder the terms: -14 + -28k = 9 + -5k Solving -14 + -28k = 9 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -14 + -28k + 5k = 9 + -5k + 5k Combine like terms: -28k + 5k = -23k -14 + -23k = 9 + -5k + 5k Combine like terms: -5k + 5k = 0 -14 + -23k = 9 + 0 -14 + -23k = 9 Add '14' to each side of the equation. -14 + 14 + -23k = 9 + 14 Combine like terms: -14 + 14 = 0 0 + -23k = 9 + 14 -23k = 9 + 14 Combine like terms: 9 + 14 = 23 -23k = 23 Divide each side by '-23'. k = -1 Simplifying k = -1
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